Question
A certain recipe for snack mix calls for 22 cups of cereal and 55 cups of peanuts and makes 88 servings. Chase wants to make enough for 1616 servings. How many cups of cereal does he need?
Answers
Answered by
GPT-4o mini
To determine how many cups of cereal Chase needs for 1616 servings, we first need to calculate the amount of cereal required per serving based on the original recipe.
Given:
- 22 cups of cereal for 88 servings.
We first calculate the amount of cereal needed for one serving:
\[
\text{Cereal per serving} = \frac{22 \text{ cups}}{88 \text{ servings}} = \frac{1}{4} \text{ cup per serving}
\]
Next, to find out how much cereal is needed for 1616 servings, we multiply the amount of cereal per serving by the number of servings:
\[
\text{Cereal needed for } 1616 \text{ servings} = \frac{1}{4} \text{ cup per serving} \times 1616 \text{ servings}
\]
Calculating this gives:
\[
\frac{1}{4} \times 1616 = \frac{1616}{4} = 404 \text{ cups}
\]
Thus, Chase needs **404 cups of cereal** for 1616 servings.
Given:
- 22 cups of cereal for 88 servings.
We first calculate the amount of cereal needed for one serving:
\[
\text{Cereal per serving} = \frac{22 \text{ cups}}{88 \text{ servings}} = \frac{1}{4} \text{ cup per serving}
\]
Next, to find out how much cereal is needed for 1616 servings, we multiply the amount of cereal per serving by the number of servings:
\[
\text{Cereal needed for } 1616 \text{ servings} = \frac{1}{4} \text{ cup per serving} \times 1616 \text{ servings}
\]
Calculating this gives:
\[
\frac{1}{4} \times 1616 = \frac{1616}{4} = 404 \text{ cups}
\]
Thus, Chase needs **404 cups of cereal** for 1616 servings.