Question

A professional guitarist charges a flat amount for performances at restaurants and events. He played 6 performances over 2 weeks and made a total of $420. Write an equation and solve for the amount he makes for each performance.

Answer 1

Let performances be x

`\\ \sf{:}\dashrightarrow 6x(2)=420`

`\\ \sf{:}\dashrightarrow 12x=420`

`\\ \sf{:}\dashrightarrow x=420/12`

`\\ \sf{:}\dashrightarrow x=35`

Answer 2

The guitarist makes 70$ a performance

Explanation:

To find how much he makes per performance we need to make an equation where how much he makes per performance is x

The equation would be:

6×x=420

Then we would divide both sides by 6

6÷6×x=420÷6

which would make the equation

x=70

meaning that the guitarist makes 70$ per performance