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

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New post 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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New post 17 Jun 2017, 10:59
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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


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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New post 17 Jun 2017, 11:48
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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]

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New post 15 Nov 2017, 16:52
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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


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

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New post 20 Nov 2017, 18:07
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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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New post 29 Apr 2018, 07:12
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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


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
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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 01 Jul 2019, 12:11
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

So we're told that he worked 48 hours in total;

that means 40 regular hours and 8 overtime hours. 40 hours that is

the time, and the rate per hour is X dollars per hour; so that means that the

amount of work, in other words the amount of money that was saved here, is 40 times X.

So 40X plus 8 times 22, and that equals an 816; basically the question

just boils down to a single equation with a single unknown: what is the value of X?
D : 16
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Re: Last week Chris earned x dollars per hour for the first 40 hours worke   [#permalink] 01 Jul 2019, 12:11
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