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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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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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New post 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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New post 17 Jun 2017, 11:13
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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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New post 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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New post 08 Aug 2017, 07:59
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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


$ x per hour - 40 hours
$ 22 per hour - Every subsequent hour
$ 816 - 48 hours
=> 40x + 22*8 = 816
=> x = 16

D is the answer.
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Re: Last week Chris earned x dollars per hour for the first 40 hours worke   [#permalink] 08 Aug 2017, 07:59
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