Question

zorah, a musician, pays $120 to have her instrument tuned and $10 per hour for a booth at a fair. she estimates that she earns $25 per hour in tips. the equation can be used to represent the break - even point.
120 + 10x = 25x
how many hours, x, will zorah have to play in order to break even?
8
12
5
4

Explanation:

Step1: Subtract \(10x\) from both sides

To solve the equation \(120 + 10x = 25x\), we first get all the \(x\)-terms on one side. Subtract \(10x\) from both sides:
\(120 + 10x - 10x = 25x - 10x\)
Simplifying both sides gives:
\(120 = 15x\)

Step2: Divide both sides by 15

Now, to solve for \(x\), we divide both sides of the equation \(120 = 15x\) by 15:
\(\frac{120}{15} = \frac{15x}{15}\)
Simplifying both sides, we find:
\(x = 8\)

Answer:

8