I need help with this question for my math class

Question

Alexandra worked 17 hours more than Enrique last month. If Alexandra worked 4 hours for every 2 hours that Enrique worked, how many hours did they each work?

Answer 1

Let's say the unknown, the number of hours Enrique worked is E. Then Alexandra's hours, A = 2E.

We also know A worked 17 more than E. so A = E + 17

We can set the equations equal to each other 2E = A = E + 17 2E = E + 17 E = 17

E worked 17 so A worked 34 hours.

To understand that A worked 4 hours for every 2 that E worked, it is the same as saying A worked 2 hours for every 1 hour E worked.

Contact me on the site if you would like more help. It is much easier to demonstrate on a white board.