Choose one of the following problems to solve and write an explanation for. This assignment is due no later than Friday, December 18th!
Problem 1
You count from 1 to 100 and you clap while saying the multiples of the number 3 and the numbers that are not the multiples of three but have 3 as the last digit. How many times will you clap your hands?
Problem 2
A doorman works according the following schedule: he works for 4 consecutive days and has the fifth day off. Last Sunday he had the day off, and on Monday he started work according to his schedule. After how many days, including that Monday, will he have a day off on Sunday again?
Assignment - In your comment remember to include the following:
Your name (first name and last initial)
Your class
The answer to the problem you solved.
An explanation that includes the strategy you used to solve.
Is there another way to solve this problem?
Would you be willing to use the same strategy if the numbers were much larger?
Any additional thoughts you have about the problem(s)
Remember when you "publish the comment" it will not appear on the blog until Mrs. DaSilva has a chance to read it and approve it.
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Glenn Opielawski Math 2
ReplyDeleteThe answer is 39 claps
What I did is i found out all the multiples of 3 up to 100 it came out to 33 different numbers then I figured out all of the numbers that ended with 3 until 100 and I couted those up it came out to 9 but I had to take away the numbers that were already used so then there were only 6 so 33+6=39
__key__
ReplyDelete*=days he has on
0=days he has off
CHART
M TU W TH F SA SU
* * * * 0 * *
* * 0 * * * *
0 * * * * 0 *
* * * 0 * * *
* 0 * * * * 0
35 DAYS
SAMI CROSIER MATH 2
Problem number 2:
ReplyDeleteI got that he will have a day off on sunday again.
How I got this answer is I went onto microsoft word and put the question down on it, then I typed this down:
M T W T
S S M T
T F S S
T W T F
S M T W
F S S M
W T F S
And I only put four each week because I skipped the fifth day, and that mean that in 7 week he has a day off on sunday again.
Bobbie D
ReplyDeleteMath 4
7*5=35
it will be 35 days untill he is off on a sunday again.
I used the least common multiples and they were both prime numbers so i multiplied the numbers.
Rhonda D
ReplyDeleteMath 4
7*5=35
I got this beacuse there are 4 days plus the day off is 5 times seven days a week is thirty five
Bridget O'Hanley
ReplyDeleteMath: 3
Problem 1:
Multiples of 3;
3, 6, 9, 12, 13, 15, 18, 21, 23, 24, 27, 30, 33, 36, 39, 42, 43, 45, 48, 51, 53, 54, 57, 60, 63, 66, 69, 72, 73, 75, 78, 81, 83, 84, 87, 90, 93, 96, 99.
I will clap my hands 39 times.
I found this by writing out all the multiples and numbers that end in three. I wrote them in order so I can fix my work if i made a mistake. Then, I counted all the multiples to see how many times I clapped my hands. I came up with 39 claps.
Frank V
ReplyDeleteMath 3
Problem 1
My answer is, you would clap 39 times.
Shaelyn Raposa
ReplyDeleteMath 3
Problem: 1
3, 6, 9, 12, 13, 15, 18, 21, 23, 24, 27, 30, 33, 36, 39, 42, 43, 45, 48, 51, 53, 54, 57, 60, 63, 66, 69, 72, 73, 75, 78, 81, 83, 84, 87, 90, 93, 96, 99
I counted from 1-100. While I was counting I clamped my hands 39 times. I wrote down all the multiples of three and all the numbers that end with 3 to get my answer. Last, I counted all the numbers I wrote down and I counted 39.
Matt Toms
ReplyDeleteMath 3
let w= nnumber of days that he works
let 1+w= number of in a work week
my answer is 15.
I got this because if he stars on sunday in 4 days it will be thursday. Then he takes the day off and it is friday. In 4 more days it will be tuesday. Then wednesday and in 4 days sunday. so the answer is 15.
Alex R
ReplyDeleteMath 3
Problem 1:
First I used the rule that all the multiples of 3's digits sum is a multiple of 3.
3's multiples are 3,6,9,12,15,18,21,24,27,30 for the rest of the numbers I just repeated what I did above and the acted as if 30 was the zero. since 30 times 3 is 90 the I can only have 3 groups of the multiples of 3 above. Since the difference between 90 and 100 is ten which has '3' 3's in it theres room for 3 more three's. The numbers 13,23,43,53,73,83 are the last numebers you add to the 33 you already have. Since there are 6 numbers with 3 as the last digit the answer is 39 because 33+6+39.
Ashley G.
ReplyDeleteClass 3
Answer: 43 claps
Explanation: i first counted every number that has a 3 at the end then i counted all the number that are multiples of 3 and ended up with 43 claps.
Caroline b
ReplyDeleteI solved problem 2
Math 1
The answer is four more days + Monday so he would work until Friday and his next day off would be on Saturday.
Sunday was his fifth day off and the fifth day of his schedule and Monday would start his regular work again so Monday + four more days would equal Friday and Saturday would be his day off because its four days + Monday and it would = Friday and his day off would be on Saturday . I don’t believe that there is another way to do this problem. I really would be willing to answer the numbers were bigger because this is a fun problem to do.
Connor McMullen
ReplyDeleteClass 3
3,6,9,12,13,15,18,21,23,24,27,30,33,36,39,42,43,
45,48,51,53,54,57,60,63,66,69,72,73,75,78,81,83,
84,87,90,93,96,99
You would clap 39 times
I started by writting out the multiples of three. As I was writting down the multiples I was also writting down the numbers that ended in three. After I had gone as far as I could without going over 100 I counted howmany numbers I wrote down. I came to a conclusion that I would of clapped my hands 39 times.
this is the problem that i am doing that i want to get a grade for, i chose for the other one that i did to be a extra credit problem
ReplyDeletethis is problem number 2:
math 2, benjamin m,
my anwer is 39 times i got this answer by:
3 6 9 12 13 15 18 21 23 24 27 30 33 36
39 42 43 45 48 51 53 54 57 60 63 66 69 72
73 75 78 81 83 84 87 90 93 96 99
so therefore you clap your hands 39 times...
yes i woulkd be willing to do this problem if the numbers were larger because it was fun finding out what the multiples of 3 are.
math 3
ReplyDeleteDaniel
3 goes into 99 33 times and the other numbers r 13 23 43 53 73 83 wich are 6 #s so 33+6=
39 claps
Zackery P
ReplyDeletemath 1
answer 39
I got the answer 39. I got 39 becaus i put 1 to 100 on a peiece of paper then underlined all the multiples of three.Then went back and underlined the other numbers that end in three.
Colby Ferreira
ReplyDeleteClass: 4 Problem 1
You clap your hands 39 times. I solved it by counting all the multiples of 3 and the numbers that aren’t multiples of 3 but end in 3 until I got to 100 here are the numbers I got 3,6,9,12,13,15,18,21,23,24,27,30,33,36,39,42,43,45,48,51,53,54,57,60,63,66,69,72,73,75,78,81,83,84,87,90,93,96 and,99.
Second Assignment
ReplyDeleteDevin K
1 Class
5th day= Day off
1.) Monday= Friday
2.) Saturday= Thursday
3.) Friday= Wednesday
4.) Thursday= Tuesday
5.) Wednesday= Monday
6.) Tuesday= Sunday
6*5=30 days
I made a chart. Monday is the day he worked= Friday he had off.
So
Monday= Friday
Working Off
sarah r problem 2
ReplyDeleteclass 1
the amswer is 28 because if you count out every 4 days you get thursday,tuesday,sunday,friday,wensday,monday,
satuday and gets sunday off.
Macy M
ReplyDeleteMath 3
Answer: You will have clapped 39 times.
To figure this out, I found all the multiples of 3 between 1 and 100. Just that would have been 33 claps. Next, I found all of the numbers that ended in a 3, but that weren't multiples of 3. There were 6 more numbers. In all, you would have clapped 39 times.
33 (multiples of 3)+ 6 (numbers ending in 3)= 39 claps in all.
One of the mistakes that people might make is that when they go to find numbers that end in 3, they might find ten of them instead if six. You have to keep in mind that you're looking for numbers that end in three but AREN'T multiples of three. If you don't then you will use numbers that you counted before and they will be repeated.
Samantha P.
ReplyDeleteMath:4
Answer:15 days later he will have a Sunday off.
What i did was make a chart. I listed all the days verticaly then I put a tally next to each day as I went along, i also used o's to show the days he had off. I got after 15 days is when he will get the next Sunday off.
If there were bigger numbers then I would have used a different strategy because making a chart would take way to long.
kellsie mitchell
ReplyDeletemath 3
answer 39 claps bacause i used a 100 chart and circled the numberst that were multiples of 3 or had 3 as thelast d
3,6,9,12,13,15,18,21,23,24,27,30,33,36,39,42,43,45,48,51,53,54,57,60,63,66,69,72,73,75,78,81,83,84,87,90,93,96,99.
ReplyDeleteYou will clap your hands 40 times.
Alex Francis,MATH:1
brooke odonnell class2 problem 2
ReplyDeletethe manclapped the 16 of every month
Math:2 Problem:2
ReplyDeleteAnswer: My answer to this problem is the doorman will get Sunday of every 35 days.
Explination: My explination to this problem is I counted every 4 days and go one more for the day off and start over again. Then I kept on going until I got the day off as Sunday.
I don't think there is another way of solving because I've tried many ways.
I would be using the same stratigy if there were larger numbers.
I thought this problem was eaisier than the 1st Problem because I understood it more.
Austin .D. math 2 problem 2
ReplyDelete34 days until he had sunday off again
I wrote each day of the week starting with Sunday ending with Saturday i did this for six weeks. I then circled the days that the door man would have off until i came to the next Sunday he had off. Then i counted all the days between the to Sundays he had off.
You can solve this problem using a mathematical equation.
No i would not use this formate because it would take forever.
Kirby Forsberg
ReplyDeleteMath 4
December 12th, 2009 6:10 pm
My answer: I would clap 40 times.
Kirby Forsberg
ReplyDeleteMath 4
December 16th 2009 6:22 pm
My answer: I would clap 39 times
Tyler Daniels math 4 problem 1
ReplyDeleteyou will clap your hands 42 times if your clapping your hands twice for the numbers 33, 63, and 93 witch are both multiples of three and also end in three.
there is another way to do this problem it is a mathematical equation.
yes i would not be willing to use the mathematical equation if there was a much bigger number.
my additional problem is that i would like some help on how to solve the mathematical equation.
Alexia Sisson
ReplyDeleteMath 4
Multiples of 3:
3,6,9,12,13,15,18,21,23,24,27,30,33,36,39,42,43,45,48,51,53,54,57,60,63,66,69,72,73,75,78,81,83,84,87,90,93,96,99
There are 39 multiples of 3 and numbers that end with 3. I got this by writing all the numbers down. Last, I counted all of them.
Nathan P
ReplyDeleteMath 3
I would clap 39 times
I made a list of all the multiples of 3 and counted how many there were.
YAAAAAY!
Corey J.
ReplyDeleteClass 1
I got 35 days
First i wrote down the number of days the doorman works for. Second I started with Monday and counted 4 days and on the fifth day I wrote Friday off. Then I continued to do that for the next for and so on until I got to 35.
I would choose to do this differently the next time i have to do something like this because it takes to much time and then i could of done it a much easier way and then made it a lot faster.
Rachael.P
ReplyDeleteMath.4 Class
Answer: 34 days
In order to find the answer to the question I counted in my notebook I drew a grid representing the days of the week and placed a "O" or a "W" under the day until I reach a Sunday in which the doorman would be off on a Sunday.
For example,
M T W T F S S
-------------------
W W W W O W W
W W O W W W W
O W W W W O W
W W W O W W W
W O W W W W O
An alternative way to calculate the number would be to multiply 7 days a week by 5 the off day in the work schedule and then subtracting the last day off that falls on a Sunday. (7*5)-1=34 days.
No, the time it would take to manually count out the number of days in a larger schedule grid would not be the most productive way to get the answer, I would multiply the weeks by the scheduled day off intervals and then subtract the final day off.
Conner Souza Math#1
ReplyDeletePromblem 2
Them amount of days the worker will have to work to get the day off and counting Monday is 20days
PROLEM# 1:
ReplyDeleteS M T W T F S
___________________
* X X X X * X
X X X * X X X
X * X X X X *
X X X X * X X
X X * X X X X
*
X = ONE DAY WORKED
* = ONE DAY TAKEN OFF
IT WILL BE 28 WORKING DAYS UNTIL THE DOOR MAN GETS A DAY OFF
BROUGHT TO YOU BY
-SEAN VADNAIS
The Answer: 28
ReplyDeleteExplination:If you started on the following monday, you would count four days. you would end up on Friday. if you counted four days, not counting the friday as 1 of the four days, you would count four days,and end up on tuesday. if you followed that pattern and kept counting the days, you would get 28 days.
stephen r
ReplyDeletemath 3
the answer to problem 1 is that you clap 39 times
3,6,9,12,13,15,18,21,23,24,27,30,33,36,39,42,43,45,48,51,53,54,57,60,63,66,69,72,73,75,78,81,83,84,87,90,93,96,99
there is another way to solve this problem
i would not use this method if there were larger numbers
Tess Carreiro
ReplyDeleteMath 2
Answer: 39 claps
I found all the multiples of 3 from 1-100 and there were 33 of them. Next I found all the numbers that ended in 3 but werent multiples of 3, there were 6 of them. Then I added 33+6 and I got 39 claps in all.
Assignment 1
ReplyDeleteJP Hebert
Class 3
39
I found the multiples of 3 and found the numbers that have 3 at the end it the number.
Kendra Evans
ReplyDeleteMath 2
Answer to problem 2
35 Days
Explanation
I made a list in my notebook of the weeks he works and the days he has off
Week 1- M-T-W-TH Day Off- F
Week 2- S-Su-M-T Day off- W
Week 3- Th-F-S-Su Day off- M
Week 4- T-W-TH-F Day off- Sa
Week 5- Su-M-T-W Day off- Th
Week 6- F-S-Su-M Day off- T
Week 7- W-Th-F-S Day off- Sun
It will take 7 weeks or 35 days until he has the day off on Sunday again. I made a list of the weeks he works and the days he has off. I kept making a list for each week until I got my answer, which was 7 weeks.
problem 2
ReplyDeleteshalynnes
class 1
answer-14 days
1st i made a chart that had the days of the week then i folled the schedule he has and i counted every day he worked and a got 14 days (2 weeks)
sean thibaudeau
ReplyDeleteclass:1
problem 1:
13,23,43,53,73,83,93
I used a chart and counted by 3 and then i got my answers
Porblem 2:
you count by 4 and last one he has off and i got 4 more times
If the door man follows his schedule it will be 35 days until he has a day off on sunday. Days 1-5 he will have a day off on a Thursday. Days 6-10 he will have a day off on a Wensdays. Days 11-15 he will have a day off on a Monday. Days 16-20 he will have a day off on a Saturday. Days 21-25 he will have a day off on a Thursday. Days 26-30 he will have a day off on a Tuesday. Days 31-35 he will finally have a day off on a Sunday
ReplyDeleteFrom:MoNsTeR a.k.a Garrett Nile Math 4
he will have sunday off again in 34 days because each day he has off rotates so in 34 days he will have another sunday off. *(FACT)*
ReplyDeleteBy: Robert Fraser
12-18-2009
Due,12-18-2009
Assiment 1
ReplyDeleteTyler Barbosa
Math 3
39
I found all of the multiples of 3 up to 100 and then counted them up and got a total of 39 numbers
Gian Micheletti
ReplyDeleteMath 4
Sun - Mon - Tue - Wed - Thu - Fri - Sat
Off - Work -Work -Work -Work -Off - Work
Work -Work -Work -Off - Work -Work -Work
Work -Off - Work -Work -Work -Work -Off
Work -Work -Work -Work -Off - Work -Work
Work -Work -Off - Work -Work -Work -Work
Off
On the 35 Sunday he is off
Name: Jessica S.
ReplyDeleteClass: Math 1
Problem: 2
Answer: The answer is 6 days.
Expanation: I say 6 because he had the 5th day off which was the Sunday. So then when you count how many days he worked counting Monday till the other Sunday he has off it equals 6. The strategy I used was to count the days of the week until I got to sunday. No there is not another way to solve this probem and no I would not be willing to use the same strategy if the numbers are larger because you would have to do another kind of way to solve it if it was bigger numbers.