Question

Mariam’s uncle donate 120 cans of juice and 90 packs of cheese cracker for the school picnic. Each student must receive the same number of cans of juice and the same numbers of pack of cracker with no leftover. Suppose Mariam Uncle eats two pack of the cracker before he brings the supplies to school. What is the greatest number of student who can share the food equally? How many cans of juice and packs of cracker will each student receive? Explain

Answer 1

8 students,

15 cans of juice and 11 packs of cheese cracker

Explanation:

Mariam’s uncle donate 120 cans of juice and 90 - 2 = 88 packs of cheese cracker (eats two packs) for the school picnic.

Factor these numbers:

`120=2\cdot 60=2\cdot 2\cdot 30=2\cdot 2\cdot 2\cdot15=2\cdot 2\cdot 2\cdot 3\cdot 5\\ \\88=2\cdot 44=2\cdot 2\cdot 22=2\cdot 2\cdot 2\cdot 11`

The greatest common factor is

`2\cdot 2\cdot 2=8,`

so the greatest number of students who can share the food equally is 8 and each student will get
`3\cdot 5=15` cans of juice and 11 packs of cheese cracker.