Question

A bucket that is three and three-quarters of a gallon is being filled with a container that holds five-eighths of a gallon. How many full containers would be needed to fill the bucket?

A) 4 containers
B) 5 containers
C) 6 containers
D) 7 containers

Answer 1

To fill the bucket that can hold 3 and 3/4 gallons with containers that hold 5/8 of a gallon, you would need 6 full containers.

Step-by-step explanation:

To find the number of full containers needed to fill the bucket, we need to divide the capacity of the bucket by the capacity of a single container. The bucket has a capacity of 3 and 3/4 gallons, which is equivalent to 15/4 gallons. The container has a capacity of 5/8 of a gallon. Performing the division, we get:

\(\frac{15}{4} \div \frac{5}{8} = \frac{15}{4} \times \frac{8}{5} = \frac{120}{20} = 6\)

Therefore, 6 full containers would be needed to fill the bucket.