Question

Traci mixed nuts and raisins together in bags to make a trail mix. She

had a total of 6 cups of nuts and 8 cups of raisins. She placed 1/3 cup
of nuts in each bag, and 1/4 cup of raisins in each bag. Traci wanted
each bag to have a mixture of nuts and raisins. After Traci uses all
the nuts she has, how many more bags need nuts added?

Answer 1

A) 14

Explanation:

Nuts:

`(6)/((1)/(3) )` =
`(6)/(1)` ÷
`(1)/(3)` Get a common denominator of 3 and divide

`(18)/(3)` ÷
`(1)/(3)` =
`((18)/(1) )/((3)/(3) )` =
`(18)/(1)` = 18

We can make 18 bags with the amount of nuts given.

Raisins:

`(8)/((1)/(4) )` = 8 ÷
`(1)/(4)` Gert a common denominator of 4 and divide

`(32)/(4)` ÷
`(1)/(4)` =
`((32)/(1) )/((4)/(4) )` =
`(32)/(1)` = 32

We can make 32 bags with the amount of raisins given.

32 - 18 = 14

14 more bags need nuts agged.