Mark B. answered • 09/28/18

Tutor

New to Wyzant
PhD Candidate in Psychology: Experienced Math, Statistics, Tutor

Good Morning, Sharon,

The way I would solve this problem is to set up a proportional equation. Remember, when doing so, you must have like items on both numerators and denominators regardless of what you are trying to calculate. There

The way I would solve this problem is to set up a proportional equation. Remember, when doing so, you must have like items on both numerators and denominators regardless of what you are trying to calculate. There

**are**other ways of doing this problem, however you will be using proportional equations throughout your education. aaTherefore:

204 96

----- = -----

204 96

----- = -----

17 x

Notice that I placed both the number of hours on the numerator for each side of the equation. Also, note I have placed the number of hours on the denominators of both sides of the equation. Do you see that? Now, all you have to do is cross-multiply.

17 (96) = 204 (x)

204 96

---- = -----

17 8

We need to cross multiply again to see if we have a true statement.

204 *8 = 96 * 17

1632 = 1632

Notice that I placed both the number of hours on the numerator for each side of the equation. Also, note I have placed the number of hours on the denominators of both sides of the equation. Do you see that? Now, all you have to do is cross-multiply.

17 (96) = 204 (x)

**<-----We are going to solve for x, okay?**

1632 = 204 x**<-----Divide both sides of the equation by 204 to leave x by itself.**

8 = x Now, let's plug this answer into the original equation to check our work, fair enough?204 96

---- = -----

17 8

We need to cross multiply again to see if we have a true statement.

204 *8 = 96 * 17

1632 = 1632

Our answer checks out so the answer to your problem is

Best!

**eight hours.**

I hope I have assisted you and wish you a great weekend. Please leave any feedback or questions you may have regarding the comment section located immediately beneath this answer. If you need further assistance, please feel free to reach out to**any**tutor.Best!