Question

at the cafe, Rebecca can choose to earn $10 per hour plus a $60 starting bonus or earn $12 per hour with no starting bonus. after how many hours of work will she earn the same amount of both payment options? write an equation to solve the problem. solve.

Answer 1

Hi there! The answer is 30 hours.

Let the number of worked hours be represented by X.

The total earn of option 1, would then be 10X + 60
The total earn of option 2, would then be 12X

We end up with the following equation:
$10x + 60 = 12x$
Subtract 10X from both sides.

$60 = 2x$
Divide both sides by 2.

$x = 30$
Therefore, after 30 hours of work Rebecca will earn the same amount of money.