Question

A certain recipe for rice and beans calls for 5 cups of beans and 3 cups of rice and makes 3 servings. Corey wants to make enough for 6 servings. How many cups of beans does he need?

Answer 1

To find out how many cups of beans Corey needs for 6 servings, we first determine how much of each ingredient is required per serving based on the original recipe.

The original recipe calls for:
- 5 cups of beans
- 3 cups of rice
- 3 servings total

To find the amount needed for one serving, we divide the quantities of each ingredient by the number of servings (3).

**For beans:**
\[
\text{Beans per serving} = \frac{5 \text{ cups of beans}}{3 \text{ servings}} = \frac{5}{3} \text{ cups per serving}
\]

**For rice:**
\[
\text{Rice per serving} = \frac{3 \text{ cups of rice}}{3 \text{ servings}} = 1 \text{ cup per serving}
\]

Next, we now calculate how much of each ingredient is needed for 6 servings by multiplying the per-serving amounts by 6.

**For beans:**
\[
\text{Beans for 6 servings} = \left(\frac{5}{3} \text{ cups per serving}\right) \times 6 = \frac{5 \times 6}{3} = \frac{30}{3} = 10 \text{ cups}
\]

Thus, Corey needs **10 cups of beans** to make enough for 6 servings.