Question

Two students are having a party. They want to make treat bags for their guests. They want each bag to be identical with nothing leftover. They have 36 Silly Bandz and 72 pieces of Double Bubble to put in the bags. What is the greatest number of treat bags they can make? How many of each item will be in each treat bag?

Answer 1

Two students can make maximum 36 treat bags.

Number of pieces of silly Bandz in each bag
`=1`

Number of pieces of Double Bubble in each bag
`=2`

Explanation:

Number of pieces of silly Bandz = 36

Number of pieces of Double Bubble = 72

To find greatest number of treat bags that they can make, find H.C.F. of 36 and 72

`36=(2^2)(3^2)\\72=(2^3)(3^2)`

`H.C.F(36,72)=36`

So,

they can make maximum 36 treat bags.

Number of pieces of silly Bandz in each bag
`=(36)/(36)=1`

Number of pieces of Double Bubble in each bag
`=(72)/(36)=2`