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AbeNeedsAnswers: Master | Next Rank: 500 Posts; Posts: 394; Joined: Sun Jul 02, 2017 10:59 am; Thanked: 1 times; Followed by:5 members

OG Last week Chris earned

by AbeNeedsAnswers » Thu Aug 17, 2017 7:15 pm

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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

D

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Source: Beat The GMAT — Problem Solving | Thu Aug 17, 2017 7:15 pm

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[email protected]: Elite Legendary Member; Posts: 10392; Joined: Sun Jun 23, 2013 6:38 pm; Location: Palo Alto, CA; Thanked: 2867 times; Followed by:511 members; GMAT Score:800

by [email protected] » Fri Aug 18, 2017 10:21 am

Hi AbeNeedsAnswers,

We're told that Chris earned $X per hour for the first 40 hours worked plus 22 dollars per hour for each hour worked beyond 40 hour and that Chris earned a total of 816 dollars by working 48 hours last week. We're asked for the value of x ?

With the given information, we can create the following equation (and solve):
40X + 8(22) = 816
40X + 176 = 816
40X = 640
X = 16

Final Answer: D

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Rich

Contact Rich at [email protected]

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Matt@VeritasPrep: GMAT Instructor; Posts: 2630; Joined: Wed Sep 12, 2012 3:32 pm; Location: East Bay all the way; Thanked: 625 times; Followed by:119 members; GMAT Score:780

by Matt@VeritasPrep » Fri Aug 18, 2017 1:29 pm

First option: algebra!

Say Chris worked h hours in all.

Total $ = $40 * x + $22 * (h - 40)

We know h = 48 and total $ = $816, so

816 = 40x + 22*(48 - 40)

816 = 40x + 176

640 = 40x

16 = x

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Matt@VeritasPrep: GMAT Instructor; Posts: 2630; Joined: Wed Sep 12, 2012 3:32 pm; Location: East Bay all the way; Thanked: 625 times; Followed by:119 members; GMAT Score:780

by Matt@VeritasPrep » Fri Aug 18, 2017 1:30 pm

Second option: plug in!

Since answer C is in the middle of the answers, we can start there. If it works we're done, and if doesn't we'll know whether to go up (to D) or down (to B).

C = $15, so Chris would make $15*40 + $22*8. That's not enough money, so we need to go UP.

We then try D, and everything works out.

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8083; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Wed Nov 15, 2017 3:53 pm

AbeNeedsAnswers wrote: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