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Rene aerns $8.50 per hour on days other than Sundays and

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by AAPL » Wed Jun 06, 2018 4:40 am
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Rene earns $8.50 per hour on days other than Sundays and twice that rate on Sundays. Last week she worked a total of 40 hours, including 8 hours on Sunday. What were her earnings for the week?

A. $272
B. $340
C. $398
D. $408
E. $476

The OA is D.

During the week Rene worked a total of 40 - 8 = 32 hours at a rate of $8.5 per hour.
On Sunday she worked 8 hours at a rate of $8.50*2 = $17.00 per hour.

Therefore her total earnings for the week were 32*8.50 + 8*17 = $408.

Has anyone another strategic approach to solve this PS question? Regards!
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by Brent@GMATPrepNow » Wed Jun 06, 2018 5:12 am
AAPL wrote:Rene earns $8.50 per hour on days other than Sundays and twice that rate on Sundays. Last week she worked a total of 40 hours, including 8 hours on Sunday. What were her earnings for the week?

A. $272
B. $340
C. $398
D. $408
E. $476
Your solution is great.
Here's one small tip for reducing your calculations by one.

Once we know that Rene's earnings = (32)(8.5) + (8)(17), we can use a nice technique called "Multiplication by Halving and Doubling"
It goes like this: AB = (A/2)(2B)
For example: (18)(3.5) = (9)(7) = 63
And (22)(4.5) = (11)(9) = 99

So, we can take (32)(8.5) and rewrite it as (16)(17)

So, we get:
Rene's earnings = (32)(8.5) + (8)(17)
= (16)(17) + (8)(17)
= (16 + 8)(17)
= (24)(17)
= 408

Answer: D
Brent Hanneson - Creator of GMATPrepNow.com
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by swerve » Wed Jun 06, 2018 9:53 am
Sunday earnings = 17$/hr * 8 hrs = $136

Earnings for the other 6 days = 32 hrs * 8.50 $/hr = $272

Total earnings = $136 + $272 = $408.

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by Scott@TargetTestPrep » Thu Jun 07, 2018 4:13 pm
AAPL wrote:Rene earns $8.50 per hour on days other than Sundays and twice that rate on Sundays. Last week she worked a total of 40 hours, including 8 hours on Sunday. What were her earnings for the week?

A. $272
B. $340
C. $398
D. $408
E. $476
Rene earned 32 x 8.5 = 272 dollars during the week (except Sunday) and 8 x 17 = 136 dollars on Sunday.

So he earned a total of 272 + 136 = 408 dollars last week.

Answer: D

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