The students in Mr. Sweet’s class exchange valentines with each other. Each student in the class gives a valentine to every student in the class. They do not give a valentine to themselves. Each student also gives a valentine to Mr. Sweets.
The thickness of each valentine is one-sixteenth of an inch. When the students stack all the valentines in one pile, the height of the stack is 5 feet 4 inches.
Mr. Sweets does not give valentines to his students. Instead he gives each student a chocolate candy heart. How many chocolate candy hearts should Mr. Sweets buy?
Be sure to explain your answer completely. There could be more than one answer to this problem.
CCG
ReplyDelete960 valentines
Mr.sweet should buy 31 candy hearts because there are 31 students in his class
How I got it:
16 x 64= 1024
1024-62=962 (students do not give themselves valentines, and Mr.Sweet does not give students valentines.)
31 x 31= 961 (close enough to 962)
AC Work
ReplyDelete1/16” = How thick each valentine is.
5’ 4”= How tall.
16 Students = 1 inch.
Total= 960, Valentines
Total # of Students = 31 (32 if including Mr. Sweet)
Mr. Sweet should buy
How I got it:
16 x 64 = 1,024
1,024 – 62 = 962 [I did that because each student does not give themselves a valentine (first 31), then Mr. Sweet does not pass out any until the answer (second 31), leading to the equation.
31x31= 961 (Close enough)
So, Mr. Sweet must buy 31 chocolates for his class.
DC
ReplyDeleteIf each Valentine is 1/16 of an inch and when they are all stacked together it is 64 inches, than you can find the number of valentines by multiplying 64 by sixteen. When I did this I found out that there were 1024 Valentines in Mr. Sweet’s class. I divided the pile of Valentines by 32 (I guessed the number) and I got that 1024 divided by 32 equals 32. I considered this and discovered that if there are 32 students and 1 teacher there are 33 people. If the students are giving a valentine to everyone except themselves than 33-1=32. That is 32 students giving 32 valentines each than the total number of valentines will come out to be 1024, the number that the class has. Now since we found out that there are 32 students and if Mr. Sweet is giving one chocolate heart per student than he needs to buy 32 Chocolate Hearts.
Answer: 32 Chocolate Hearts
F.P.
ReplyDelete5 feet 4 inches = 64 inches
64*16=1024
Mr. Sweets had to buy 1024 chocolate hearts for his students for them all to have one piece.
For every 1 inch there is 16 kids
ReplyDeletethe stack is 5 feet 4 inches= 64 inches
so i multiplied 64 by 16
64*16=1024
Mr.Sweets needs 1024 choclate hearts for every student.
AM
TK
ReplyDeleteFirst, I realized that 1/16 times 16 equals one inch. Then, I multiplied 64 inches (5 feet 4 inches) by 16 to equal 1024. Then, I divided 1024 by 32 (just estimating amount in one class) to equal 32. That means, each student gave a valentine to each student (except themselves) and to Mr. Sweets to get the height of the stack to be five feet four inches. Therefore, Mr. Sweets should by 32 chocolate hearts in order to include everyone.
P.H
ReplyDeleteThe first thing I did was realize that 1/16 multiplied by 16 is equal to 1 inch. The next thing I did was multiply 64 (which I got by seeing how many inches are in 5 feet 4 inches) by 16 which came out to 1024. Then I divided 1024 by 32 (just a random factor of 1024) and it came out to be 32 students. Mr. Sweets should buy 32 candy bars so that everyone can have one candy bar.
AC
ReplyDeleteMr. Sweets must buy 32 chocolate candy hearts, 1 for each of his 32 students. I discovered this answer by multiplying 64, the height of the valentine stack, by 16, the number of valentine per vertical inch. This meant that there must be 1024 valentines given to the students and Mr. Sweets. I used the guess and check method and I divided 1024 (number of valentines) by certain numbers that would make a whole number once divided. When I divided 1024 by 32 it came out with the number 32. So if there were 32 valentines per student (31 for students, 1 for teacher) then Mr. Sweets would need to buy 32 chocolate candy hearts.
A.E.,
ReplyDeleteMr. Sweet needs to buy 32 chocolate candy hearts for each student to receive one. In order to find the answer I converted 5 feet and 4 inches into inches. Then I multiplied 1/16 by 64 because 5 feet and 4 inches equals 64. That gave me 1024. After I chose a random number that was suitable for a class, which was 32, and it gave me 32.
SA
ReplyDelete1024 valentines
30*30=900
31*31=961
32*32=1024
32 students
To figure out this problem I multiplied the height of 1 valentine (1/16 inch) by the height of all the valentines (5 feet and 4 inches or 64 inches) after I got that I started to multiply 30 by 30 and I did this until I got to 32*32=1024. after that I knew that there were 32 students because each person gave a valentine to each student and the teacher. So Mr. Sweet would have to buy 32 chocolate hearts.
G.F.
ReplyDeleteFirst, I estimated the number of students he might have in his class comparing the number of students that are in my class. So I divided 5.4 by 30 and got 0.18. I said to myself, "Hmm! Maybe that's why the one-sixteenth information was given!" After that, I divided 5.4 by 32 and got 0.16. Mr. Sweets needs to by 32 chocolate candy hearts for all his students!
CL
ReplyDeletemy answer is 32.
i divided the stack 5 feet and 4 inches of class valentines by 1/16th of an inch and i got 1024.
i did the square root of 1024 and got 32.
so MR. sweets should buy 32 chocolate hearts.
my answer is 32
ReplyDeletei divided 5 feet and 4 inches by 1/16
and i got 1024
I did the square root of 1024 and i got 32
e.g
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ReplyDelete