Question

5-6 mathxl for school: practice & problem solving
due: 8 - 5:00 pm
a cook mixes rice into boiling water at the amounts shown. choose all of the statements that are true.
water: 2 quarts
rice: 8 pounds
a. 20 quarts water, 1 pound rice. is a unit rate for the mix.
c. using the same ratio, the cook should use 40 pounds of rice with 10 quarts of water.
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Explanation:

Step1: Find the rice-water ratio

The given ratio is $\frac{\text{rice}}{\text{water}} = \frac{8\ \text{pounds}}{2\ \text{quarts}} = 4\ \frac{\text{pounds}}{\text{quart}}$

Step2: Verify Option A

Check if 20 quarts water pairs with 1 pound rice:
Using the ratio, 20 quarts water would need $20 \times 4 = 80$ pounds of rice, not 1. So A is false.

Step3: Verify Option B

Check if the ratio is 1 quart water : 4 pounds rice:
From Step1, the ratio simplifies to $\frac{4\ \text{pounds rice}}{1\ \text{quart water}}$, which matches 1 quart water to 4 pounds rice. So B is true.

Step4: Verify Option C

Check if 40 pounds rice needs 10 quarts water:
Rearrange the ratio: $\text{water} = \frac{\text{rice}}{4}$. For 40 pounds, $\frac{40}{4} = 10$ quarts. So C is true.

Answer:

B. 1 quart water : 4 pounds rice
C. Using the same ratio, the cook should use 40 pounds of rice with 10 quarts of water.