Last week Chris earned x dollars per hour for the first 40

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BTGmoderatorLU: Moderator; Posts: 2650; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Tue Sep 11, 2018 2:47 pm

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Source: Official Guide

Last week Chris earned x dollars per hour for the first 40 hours worked plus 22 dollars per hour for each hour worked beyond 40 hours. If last week Chris earned a total of 816 dollars by working 48 hours, what is the value of x?

A. 13
B. 14
C. 15
D. 16
E. 17

The OA is D.

Source: Beat The GMAT — Problem Solving | Tue Sep 11, 2018 2:47 pm

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16206; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Tue Sep 11, 2018 2:57 pm

BTGmoderatorLU wrote:Source: Official Guide

Last week Chris earned x dollars per hour for the first 40 hours worked plus 22 dollars per hour for each hour worked beyond 40 hours. If last week Chris earned a total of 816 dollars by working 48 hours, what is the value of x?

A. 13
B. 14
C. 15
D. 16
E. 17

The OA is D.

If Chris worked 48 hours, then he was paid 40x dollars for first 40 hours and (8)(22) dollars for the next 8 hours
Since Chris earned $816, we can write: 40x + (8)(22) = 816
Simplify: 40x + 176 = 816
Subtract 176 from both sides: 40x = 640
Solve: x = 640/40 = 16

Answer: D

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Wed Sep 12, 2018 5:33 pm

BTGmoderatorLU wrote:Source: Official Guide

Last week Chris earned x dollars per hour for the first 40 hours worked plus 22 dollars per hour for each hour worked beyond 40 hours. If last week Chris earned a total of 816 dollars by working 48 hours, what is the value of x?

A. 13
B. 14
C. 15
D. 16
E. 17

We can create the equation:

40x + 22(48 - 40) = 816

40x + 22(8) = 816

40x + 176 = 816

40x = 640

x = 16

Answer: D

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[email protected]

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