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Bunuel
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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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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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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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Bunuel
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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ScottTargetTestPrep
Bunuel
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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asfandabid
ScottTargetTestPrep
Bunuel
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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Again i always solve this problem logically without using any kind of formulas (im not good at them at all)
So we have 7$ for his 40 hours right
7*40= 280$ per week
So for both weeks we have 280+280=560$
This 560$ is his fixed salary for his fixed hours he must works
Now we just substract his total earning with the fixed salary for the 2 weeks
710-560=150$
150$ for 2 weeks right .. just divide it by 10$ ( overtime hours earning) = 15 hours
Now we add the regular fixed hours for every week .. 40+40 and we add the 15
40+40+15=95
Answer c

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