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

Answer:

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

Step-by-step 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 $\frac{36}{2}=18$

We can represent our given information in an equation as:

$5x+x+4x=18$

Let us solve for x cups.

$10x=18$

$\frac{10x}{10}=\frac{18}{10}$

$x=1.8$

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.