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# Expressions and Single Equations, Question 8, page 45, 06232016

edited Thu Sep 21, 2017
Joined: 08/11/2017Posts: 2
David's work week is h hours. Each week he works 3h/5 hours in the office and teleworks the rest of the time. How many weeks will it take David to telework 750 hours in terms of h?
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• PowerScore Staff Joined: 10/31/2016Posts: 200
This is a great candidate for Substitution.

Pick a value for h.

Let's say h = 20. This means his work week is 20 hours.

How much time does he work in the office? 3 x 20 / 5 = 60 / 5 = 12.

He works 12 hours in the office.

Given that his whole work week is 20 hours, this means he teleworks 8 hours every week.

The question asks how many weeks will it take for him to telework 750 hours. Given that he teleworks 8 hours every week, divide 750 by 8 to figure out how many weeks it will take for him to telework 750 hours.

750 / 8 = 93.75

It will take him 93.75 weeks to telework 750 hours.

Now we have to find which answer choice gives us 93.75 using h = 20.

93.75 weeks, h = 20
(A) 750 / 20 = 37.5
(B) 1,875 / 20 = 93.75 Yes!
(C) 20 / 1,250 Definitely not!
(D) 20 / 1,875 Definitely not!
(E) 1,250 x 20 Definitely not!