Question

use rate reasoning to convert within measurement systems

1. angela has 3 gallons of milk. how many quarts of milk does she have?

math on the spot for problems 2–3, use conversion factors.

1. convert 40 yards to feet.
2. convert 20 quarts to gallons.
3. a sink can hold 10 gallons of water. how many quarts of water can the sink hold?
4. a box weighs 64 ounces. what is the weight of the box in pounds?
5. reason greg already has 2 gallons of paint to paint his living room. he estimates that he will need 10 quarts of paint. does he have enough paint? show your work.
6. two bottles of water have a mass of 4 kilograms. how many grams is 4 kilograms?

for problems 8–13, convert to the unit indicated in parentheses. then compare the measurements using <, =, or >.

1. 5,000 m □ 4.9 km; (meters)
2. 4 lb □ 60 oz; (ounces)
3. 3 mi □ 15,840 ft; (feet)
4. 72 in. □ 2 yd; (feet)
5. 0.45 l □ 4,200 ml; (milliliters)
6. 1.2 g □ 950 mg; (milligrams)

Explanation:

Problem 1:

Step1: Recall conversion factor (1 gallon = 4 quarts)

To convert gallons to quarts, we use the conversion factor \( 1 \text{ gallon} = 4 \text{ quarts} \).

Step2: Multiply gallons by conversion factor

Angela has 3 gallons. So, the number of quarts is \( 3 \times 4 = 12 \).

Step1: Recall conversion factor (1 yard = 3 feet)

The conversion factor for yards to feet is \( 1 \text{ yard} = 3 \text{ feet} \).

Step2: Multiply yards by conversion factor

We have 40 yards. So, \( 40 \times 3 = 120 \) feet.

Step1: Recall conversion factor (1 gallon = 4 quarts)

To convert quarts to gallons, we use \( 1 \text{ gallon} = 4 \text{ quarts} \), so the conversion factor to divide by is 4.

Step2: Divide quarts by conversion factor

We have 20 quarts. So, \( 20 \div 4 = 5 \) gallons.

Answer:

12 quarts

Problem 2: