Question

If John has 12 4/5 ounces of macaroni salad to split among 2 1/4 ounce containers, will he have enough containers to hold all of the salad if he has 6 containers? Explain why or why not.

Answer 1

he only has enough to fill 5 containers with .68 left over

Step-by-step explana

12.8 / 2.25=5.68

Answer 2

John can store the macaroni in the 6 containers he have.

SOLUTION:

Given, John has
`12(4)/(5)` ounces of macaroni salad to split among
`2(1)/(4)` ounce containers.

And he has 6 containers.

First let us convert mixed fractions into improper fractions.

`12 (4)/(5)=(12 * 5+4)/(5)=(64)/(5)$\\$2 (1)/(4)=(2 * 4+1)/(4)=(9)/(4)$`

John has to split
`(64)/(5)` ounces of macaroni into 6 containers with capacity of
`(9)/(4)` ounces.

Then, the following condition should become true

Materials available should be less than the storage capacity.

`$(64)/(5)<6 * (9)/(4)$`

`$(64)/(5)<3 * (9)/(2)$`

`$(64)/(5)<(27)/(2)$`

`$64 * 2<5 * 27$`

128 < 135

Above condition is true.

So, materials available is less than storage space.

Hence, john can store the macaroni in the 6 containers he have.