Hamilton Elementary School purchase 296 books for the third, fourth, and fifth grade classroom Library. There are 4 third grade classes, 5 fourth grade classes, and 4 fifth-grade grade classes. Each third and fourth grade class received the same number of books. The remaining books were distributed equally among the 5th grade classes. How many books did each 5th grade class receive?
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Multiple possible solutions
Step-by-step explanation:
Total books = 296
4 third grade classes
5 fourth grade classes
4 fifth grade classes
Let say each third & fourth grade class receive x books then
books distributed = 4x + 5x = 9x
Let say each fifth grade class receive y books
then books received by 5th grade class = 4y
9x + 4y = 296
Possible solution
x = 4 y = 65
x = 8 y = 56
x = 12 y = 47
x = 16 y = 38
x = 20 y = 29
x= 24 y = 20
x = 28 y = 11
x = 32 y = 2
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