Question

The total amount of water a tank can hold is (14)1/2 gallons. Raul wants to find out how many (1)1/4 gallon buckets of water can be used to fill the tank. Which expressions could be used to represent this scenario? Check all that apply.

Answer 1

Y= (14)1/4 ÷ (1)1/4
Tank divide by bucket

Answer 2

Explanation:

We have been given that the total amount of water a tank can hold is
`14(1)/(2)` gallons.

To find the number of
`1(1)/(4)` gallon buckets of water can be used to fill the tank we will divide the total amount of water in the tank by amount of water in one bucket.

`\text{Number of water buckets used}=\frac{\text{Total amount of water in the tank}}{\text{Amount of water in one bucket}}`

Upon substituting our given values we will get,

`\text{Number of water buckets used}=(14(1)/(2) )/(1(1)/(4))`

`\text{Number of water buckets used}=((29)/(2) )/((5)/(4))`

Dividing a fraction with another fraction is same as multiplying the reciprocal of second fraction with the first fraction.

`\text{Number of water buckets used}={(29)/(2)}* {(4)/(5)}`

Therefore, all the above expressions can be used to find the number of
`1(1)/(4)` gallon buckets of water will be needed to fill the tank.