Question

Xavier spent $84 on art supplies. The canvas for each of his paintings is an additional $1. He plans to sell his paintings for $8.

A.write an equation that can be used to find the number of paintings (p) he will need to sell to break even.

B.solve the equation from part a. Check the solution.

Answer 1

Part a) The equation is
`84+p=8p`

Part b)
`p=12\ paintings`

Explanation:

Let

p -----> the number of paintings

we know that

Break even is when sales are equal to cost.

The linear equation that represent this problem is

`84+p=8p`

Solve for p

Subtract p both sides

`84+p-p=8p-p`

`84=7p`

Divide by 7 both sides

`84/7=7p/7`

`12=p`

Rewrite

`p=12\ paintings`

Check the solution

`84+p=8p`

substitute the value of p

`84+12=8(12)`

`\$96=\$96` ----> is ok