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

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Last week Chris earned x dollars per hour for the first 40 hours worke  [#permalink]

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17 Jun 2017, 10:54
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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

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Last week Chris earned x dollars per hour for the first 40 hours worke  [#permalink]

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17 Jun 2017, 10:59
3
1
AbdurRakib 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

Given Chris earned x dollars per hour for the first 40 hours worked plus 22 dollars per hour for each hour worked beyond 40 hours.

Chris worked for 48 hours.

Therefore Chris earned in 8 extra hours $$= 22*8 = 176$$

Chris earned a total of 816 dollars.

$$816 = 40x + 176$$

$$40x = 816 - 176 = 640$$

$$x = \frac{640}{40} = 16$$. Answer (D)...

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Re: Last week Chris earned x dollars per hour for the first 40 hours worke  [#permalink]

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17 Jun 2017, 11:13
1
AbdurRakib 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

$$816 = 40*x + 22*8$$

Or, $$816 = 40x + 176$$

Or, $$816 = 40x + 176$$

Or, $$40x = 640$$

Or, $$x = 16$$

Thus, answer must be (D) 16

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Re: Last week Chris earned x dollars per hour for the first 40 hours worke  [#permalink]

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17 Jun 2017, 11:48
Nice question.

Here is what I did for this one =>

Number of hours => 48 => 40+8
Hence the total income => 40x+22*8 which is equal to 816

Hence 40x+22*8=816
x=16

Smash that D.

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Re: Last week Chris earned x dollars per hour for the first 40 hours worke  [#permalink]

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08 Aug 2017, 07:59
1
AbdurRakib 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

$x per hour - 40 hours$ 22 per hour - Every subsequent hour
$816 - 48 hours => 40x + 22*8 = 816 => x = 16 D is the answer. _________________ Put in the work, and that dream score is yours! Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 6160 Location: United States (CA) Re: Last week Chris earned x dollars per hour for the first 40 hours worke [#permalink] ### Show Tags 15 Nov 2017, 16:52 1 1 AbdurRakib wrote: Last week Chris earned x dollars per hour for the first 40 hours worked plus 22 dollars per hour for each hour worked beyond 40 hours. If last week Chris earned a total of 816 dollars by working 48 hours, what is the value of x ? A. 13 B. 14 C. 15 D. 16 E. 17 We can create the equation: 40x + 22(48 - 40) = 816 40x + 22(8) = 816 40x + 176 = 816 40x = 640 x = 16 Answer: D _________________ # Scott Woodbury-Stewart Founder and CEO Scott@TargetTestPrep.com 122 Reviews 5-star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button. EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 14171 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: Last week Chris earned x dollars per hour for the first 40 hours worke [#permalink] ### Show Tags 20 Nov 2017, 18:07 1 Hi All, We're told that Chris earned$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

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Re: Last week Chris earned x dollars per hour for the first 40 hours worke  [#permalink]

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29 Apr 2018, 07:12
1
AbdurRakib 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

All explanations above seem to be perfect , I'm just trying to express an easy calculation below:

40 x + 22* 8 = 816 [I assume all could understand till here.]
=>8(5x + 22) = 816
=>5x + 22 = 102
=>5x = 80
=>x = 16
Re: Last week Chris earned x dollars per hour for the first 40 hours worke   [#permalink] 29 Apr 2018, 07:12
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