Question

The label on the paint container states that its average​ coverage rate is 275 square feet per gallon. ​What is the​ difference in square feet per gallon between Angela’s rate of​ paint coverage and the average rate indicated on the label​ on the container? ​ (Note: 1 square yard = 9 square feet ) ​ ​ square feet per gallon difference.

Answer 1

Answer:

• The rate of paint coverage of Angela is 13ft²/gallon less than the average rate indicated on the label of the container.

Explanation:

This question is the second part (Part B) of a two-parts question.

You need solve the first part first, to use the result as input of this second part.

Please, find attached the whole question.

Part A. Angela's rate of paint coverage

          $\text{Rate of paint coverage}=\frac{\text{gallons of paint used}}{area}$

Convert the mixed numbers to improper fractions:

        $42\frac{2}{3}=42+\frac{2}{3}=\frac{3\times 42+2}{3}=\frac{128}{3}$          [this is square yards]

        $1\frac{1}{3}=1+\frac{1}{3}=\frac{3\times 1+1}{3}=\frac{4}{3}$                  [this is gallons]

Now calculate the rate:

$\frac{\frac{128}{3}}{\frac{4}{3}}=\frac{128}{3}\times \frac{3}{4}=\frac{128}{4}=32$          [that is square yards per gallon]

Part. B.

To compare the rates first change 32 yard²/gallon to feet²/gallon.

           $1 yd^2=9ft^2\implies 1=9ft^2/1yd^2\\ \\ 32yd^2/gallon\times 9ft^2/1yd^2=288ft^2$

Difference:

• 288 ft²/gallon - 275ft²/gallon = 13ft²/gallon