Question

It took Lou 2 1/2 gallons of paint to paint one fence. How many gallons to paint six fences that are small in size

Answer 1

15 gallons to paint six fences that are small in size.

Explanation:

Unit rate defined as the rates are expressed as a quantity 1 such as 3 miles per hour or 5 meter per seconds.

As per the statement:

It took Lou
`2(1)/(2)` gallons of paint to paint one fence.

`\text{Unit rate per fence}= \frac{\text{Number of gallons of paint}}{\text{number of fences}}`

Substitute the given value we have;

`\text{Unit rate per fence}= ((5)/(2) )/(1) = (5)/(2)` gallons.

We have to find how many gallons to paint six fences that are small in size.

By definition of unit rate;

`\text{Number of gallons to paint 6 fences}= \text{Unit rate per fence} * 6`

Substitute the given values we have;

`\text{Number of gallons to paint 6 fences}= (5)/(2) * 6 = 5 * 3 = 15`

Therefore, 15 gallons to paint six fences that are small in size.