Chapter 1.7, Problem 88PPE

To determine

To Write and Find: An equation and find how many cans of paints will be required for a $410 Job.

Answer to Problem 88PPE

The required equation is $32x+250=410$

The required number of cans of paints is 5.

Explanation of Solution

Given information:

Fee for painting = $250

Cost of per can of paint = $32

Total Cost of the job = $410

Calculation:

Let the number of can of paint be x.

Since per can of paint cost is $32

So, x number of can of paint will cost $32x.

According to the question.

  $32x+250=410$

Isolate x by subtracting 250 from both sides and simplify

  $\begin{array}{l}\Rightarrow 32x+250-250=410-250\\ \Rightarrow 32x=160\end{array}$

Isolate x by dividing 32 from both sides and simplify

  $\begin{array}{l}\Rightarrow \frac{32x}{32}=\frac{160}{32}\\ \Rightarrow x=5\end{array}$