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Ahmed earns $7 an hour for the first 40 hours of work in the week, and

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Ahmed earns $7 an hour for the first 40 hours of work in the week, and  [#permalink]

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New post 05 May 2017, 03:26
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Ahmed earns $7 an hour for the first 40 hours of work in the week, and $10 per hour overtime. If he worked twice as many over time hours this week than last week and his total earnings were $710 in the two weeks, how many hours did he work in total during these two weeks?

A. 45
B. 90
C. 95
D. 100
E. 105

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Re: Ahmed earns $7 an hour for the first 40 hours of work in the week, and  [#permalink]

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New post 05 May 2017, 04:02
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Let x be overtime hours

Previous week total money earned = 40*7 + X*10
This week total money earned = 40*7 + 2X*10


40*7 + X*10 + 40*7 + 2X*10 = 710 (Given)

X= 5

40 hours + 5 hours (Previous week)

40 hours + 10 hours (This week)

Total hours = 40+40+10+5 = 95 Hours
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Re: Ahmed earns $7 an hour for the first 40 hours of work in the week, and  [#permalink]

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New post 05 May 2017, 04:54
First subtract his usual pay (of 40 hours per week) from 710. In these two weeks, those 80 hours (40+40) give him 80*7 = $ 560.

Remaining amount that comes from overtime hours = 710-560 = $150.

Thus, number of overtime hours (in total two weeks) = 150/10 = 15.

So total working hours in two weeks = 40*2 + 15 = 95. hence C
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Re: Ahmed earns $7 an hour for the first 40 hours of work in the week, and  [#permalink]

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New post 05 May 2017, 12:50
7$ per hour for first 40 hours will make 280$ for Ahmed. Every remaining hour will fetch him 10$ overtime.

Given data
Week1 hrs spent over working : x
Week2 hrs spent over working :2x
Total income over 2 weeks - 710$.

Let x be the total overtime hours.
280+ 10*x +280+ 10*2x= 710
Simplifying,3x = 15 or x=5.

Total number of hours spent
40+x(Week1 overtime)
+40+2x(Week2 overtime)
=40+5+40+10=95(Option C)
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Re: Ahmed earns $7 an hour for the first 40 hours of work in the week, and  [#permalink]

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New post 07 May 2017, 10:56
normal wages = 40 *7 = 280 per week..
normal wages for 2 weeks = 560
Remaining amount that comes from overtime hours = 710-560 = $150.

Thus, number of overtime hours (in total two weeks) = 150/10 = 15.
ratio of working hours = 2:1
total working hours in two weeks = 40*2 + 15 = 95.

ans C
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Re: Ahmed earns $7 an hour for the first 40 hours of work in the week, and  [#permalink]

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New post 09 May 2017, 11:11
Let say Ahmed worked for 40 / week.

Total hrs worked for 2 weeks = 40 * 2 = 80. Ahmed earned 80 * 7 = $ 560.

But, actual earning = $710.
Difference : 710 - 560 = $ 150

$10 for each extra hrs.
Therefore, extra hrs = \(\frac{150}{10}\) = 15

Now, total hrs worked = 80 + 15 = 90 hrs

Ans: C
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Re: Ahmed earns $7 an hour for the first 40 hours of work in the week, and  [#permalink]

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New post 12 May 2017, 13:20
Bunuel wrote:
Ahmed earns $7 an hour for the first 40 hours of work in the week, and $10 per hour overtime. If he worked twice as many over time hours this week than last week and his total earnings were $710 in the two weeks, how many hours did he work in total during these two weeks?

A. 45
B. 90
C. 95
D. 100
E. 105


We are given that Ahmed earns $7 an hour for the first 40 hours of work in the week and $10 per hour overtime. We can let the number of overtime hours this week = 2x and the number of overtime hours last week = x. Thus:

Money earned this week + money earned last week = 710

[7(40) + 10(2x)] + [7(40) + 10x] = 710

280 + 20x + 280 + 10x = 710

560 + 30x = 710

30x = 150

x = 5

Thus, the total hours worked were: 40 + 10 + 40 + 5 = 95 hours.

Answer: C
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Re: Ahmed earns $7 an hour for the first 40 hours of work in the week, and  [#permalink]

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New post 13 Feb 2019, 02:57
ScottTargetTestPrep wrote:
Bunuel wrote:
Ahmed earns $7 an hour for the first 40 hours of work in the week, and $10 per hour overtime. If he worked twice as many over time hours this week than last week and his total earnings were $710 in the two weeks, how many hours did he work in total during these two weeks?

A. 45
B. 90
C. 95
D. 100
E. 105


We are given that Ahmed earns $7 an hour for the first 40 hours of work in the week and $10 per hour overtime. We can let the number of overtime hours this week = 2x and the number of overtime hours last week = x. Thus:

Money earned this week + money earned last week = 710

[7(40) + 10(2x)] + [7(40) + 10x] = 710

280 + 20x + 280 + 10x = 710

560 + 30x = 710

30x = 150

x = 5

Thus, the total hours worked were: 40 + 10 + 40 + 5 = 95 hours.

Answer: C


Hi ScottTargetTestPrep,

Im a little confused about the highlighted part. i came up with the following equation

40(7)+10(n-40) + 40(7) + 10(2n-40)=710

SO why did we not subtract the first 40 hours?
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Re: Ahmed earns $7 an hour for the first 40 hours of work in the week, and  [#permalink]

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New post 15 Feb 2019, 12:41
asfandabid wrote:
ScottTargetTestPrep wrote:
Bunuel wrote:
Ahmed earns $7 an hour for the first 40 hours of work in the week, and $10 per hour overtime. If he worked twice as many over time hours this week than last week and his total earnings were $710 in the two weeks, how many hours did he work in total during these two weeks?

A. 45
B. 90
C. 95
D. 100
E. 105


We are given that Ahmed earns $7 an hour for the first 40 hours of work in the week and $10 per hour overtime. We can let the number of overtime hours this week = 2x and the number of overtime hours last week = x. Thus:

Money earned this week + money earned last week = 710

[7(40) + 10(2x)] + [7(40) + 10x] = 710

280 + 20x + 280 + 10x = 710

560 + 30x = 710

30x = 150

x = 5

Thus, the total hours worked were: 40 + 10 + 40 + 5 = 95 hours.

Answer: C


Hi ScottTargetTestPrep,

Im a little confused about the highlighted part. i came up with the following equation

40(7)+10(n-40) + 40(7) + 10(2n-40)=710

SO why did we not subtract the first 40 hours?


Because the overtime does not kick in until 40 hours have been completed. Thus, you need to subtract 40 from the total hours worked to calculate how many hours will qualify for overtime.
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Re: Ahmed earns $7 an hour for the first 40 hours of work in the week, and   [#permalink] 15 Feb 2019, 12:41
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