Find the estimate and briefly explain your reasoning.
Estimate the cost of painting a homecoming float if the area to be painted is 9 feet
by 16 feet and a quart of paint that covers 53 square feet costs $11.99.

Respuesta :

Answer:

$35.97

Step-by-step explanation:

Given:

Dimensions of homecoming float = 9 ft [tex]\times[/tex] 16 ft

Area covered by a quart of paint = 53 sq ft

Cost of a quart of paint = $11.99

To find:

Cost of painting the homecoming float = ?

Solution:

First of all, let us find the area of homecoming float which is to be painted.

Area = Length [tex]\times[/tex] Width = 9 [tex]\times[/tex] 16 = 144 sq ft

Quart needed to cover 53 sq ft = 1

Quart needed to cover 1 sq ft = [tex]\frac{1}{53}[/tex]

Quart needed to cover 144 sq ft = [tex]\frac{1}{53}\times 144 = 2.716 \approx 3[/tex]

So, 3 quarts will be needed.

Cost of 1 quart = $11.99

Cost of 3 quarts = $11.99 [tex]\times[/tex] 3 = $35.97