Question

As a student, you are able to earn extra money by assisting your neighbors with odd jobs. If you charged $10.25 an hour for your assistance, about how many hours would you need to work to earn $8,425? Show your work.

Answer 1

822 hours

Explanation:

The fastest and simplest way is to just do $8,425 ÷ $10.25 and you’ll get your anse which was exactly 821.95122 which you’d round up to 822

Answer 2

822 hours

Explanation:

Let's say that you work for h hours. Then since each hour, you charge $10.25, then your total earnings after h hours will be:

10.25 + 10.25 + 10.25 + ... + 10.25, where you add 10.25 to itself h times.

Adding a number n to itself x times is the same as multiplying that number n by x: nx. It's the same thing here: we multiply 10.25 by h because we added 10.25 to itself h times:

10.25 * h

Now, we do know that the actual total amount of money you earn is $8425, so we can just set this value equal to our above expression:

10.25 * h = 8425

Divide both sides by 10.25 to solve for h:

h = 8425/10.25 ≈ 821.95 ≈ 822 hours

Hope this helps!