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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?

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Answer:

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.

User Sean Burton
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