Question

Cora mug holds 1/8 gallon of water she will use her mug to fill a container that holds 3/4 gallon of water how many times will Cora fill and empty her mug to fill the container explain your reasoning

Answer 1

Cora will need to fill and empty her mug 12 times to fill a 3/4 gallon container because the container's capacity (3/4 gallon) divided by the mug's capacity (1/8 gallon) equals 12.

Step-by-step explanation:

The question asks how many times Cora will need to fill and empty her mug, which holds 1/8 gallon of water, to completely fill a container that has a capacity of 3/4 gallon.

To solve this, we start by determining how many times the mug's capacity goes into the container's capacity. The calculation is as follows:

1. First, identify the capacity of the container, which is 3/4 gallon.
2. Then, determine the capacity of Cora's mug, which is 1/8 gallon.
3. Finally, divide the container's capacity by the mug's capacity, giving:

(3/4) ÷ (1/8) = (3÷4) ÷ (1÷1) = 12/1 = 12

Therefore, Cora will have to fill and empty her mug 12 times to fill the container completely. This is because dividing the capacity of the container by the capacity of the mug shows how many mugs fit into the container.