Question

A production applies several layers of a clear acrylic coat to outdoor furniture to help protect it from the weather. If each protective coat is 2/27 inch thick, how many applications will be needed to build up 2/3 inch of clear finish.

Answer 1

We know that

• Each protective coat is 2/27 inches thick.

,

• We need to fill 2/3 inches of this protective coat.

To solve this problem, we need to know the total number of the application needed to fill 2/3 inches. We can form the following expression

`(2)/(27)x=(2)/(3)`

We solve for x

`x=(2\cdot27)/(3\cdot2)=(27)/(3)=9`

Therefore, we need 9 applications in total.