Respuesta :
Answer:
15 gallons to paint six fences that are small in size.
Step-by-step 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 [tex]2\frac{1}{2}[/tex] gallons of paint to paint one fence.
[tex]\text{Unit rate per fence}= \frac{\text{Number of gallons of paint}}{\text{number of fences}}[/tex]
Substitute the given value we have;
[tex]\text{Unit rate per fence}= \frac{\frac{5}{2} }{1} = \frac{5}{2}[/tex] gallons.
We have to find how many gallons to paint six fences that are small in size.
By definition of unit rate;
[tex]\text{Number of gallons to paint 6 fences}= \text{Unit rate per fence} \times 6[/tex]
Substitute the given values we have;
[tex]\text{Number of gallons to paint 6 fences}= \frac{5}{2} \times 6 = 5 \times 3 = 15[/tex]
Therefore, 15 gallons to paint six fences that are small in size.
