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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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87% (01:19) correct 13% (01:24) wrong based on 181 sessions

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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
[Reveal] Spoiler: OA

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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
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
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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
KUDOS
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
$816 - 48 hours => 40x + 22*8 = 816 => x = 16 D is the answer. _________________ Put in the work, and that dream score is yours! Kudos [?]: 112 [1], given: 99 Re: Last week Chris earned x dollars per hour for the first 40 hours worke [#permalink] 08 Aug 2017, 07:59 Similar topics Replies Last post Similar Topics: 4 Last week Jack worked 70 hours and earned$ 1,260. If he earned his re 8 12 Aug 2017, 06:01
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