Question

You need to make 36 one-half cup bags of trail mix for a class trip. The recipe calls for peanuts, choclate chips, and raisins?

Answer 1

The recipe calls for 9 cups of peanuts, 1.8 cups of chocolate chips, and 7.2 cups of raisins.

Explanation:

Please consider the complete question.

You need to make 36 one-half cup bags of trail mix for a class trip. The recipe calls for peanuts, chocolate chips, and raisins in the extended ratio 5:1:4. How many cups of each item do you need?

Let x represent the number of chocolate chip cups.

The number of peanuts cups would be
`5x`.

The number of raisins cups would be
`4x`.

The half sups would be
`(36)/(2)=18`

We can represent our given information in an equation as:

`5x+x+4x=18`

Let us solve for x cups.

`10x=18`

`(10x)/(10)=(18)/(10)`

`x=1.8`

Therefore, the recipe calls for 1.8 cups of chocolate chips.

The number of peanuts cups would be
`5x\Rightarrow 5(1.8)=9`.

Therefore, the recipe calls for 9 cups of peanuts.

The number of raisins cups would be
`4x\Rightarrow 4(1.8)=7.2`.

Therefore, the recipe calls for 7.2 cups of raisins.