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Rene earns $8.50 per hour on days other than Sundays and twi

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Rene earns $8.50 per hour on days other than Sundays and twi [#permalink]

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

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

Problem Solving
Question: 94
Category: Arithmetic Operations on rational numbers
Page: 74
Difficulty: 600


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Re: Rene earns $8.50 per hour on days other than Sundays and twi [#permalink]

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New post 13 Feb 2014, 02:28
SOLUTION

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

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.

Answer: D.
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Re: Rene earns $8.50 per hour on days other than Sundays and twi [#permalink]

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New post 13 Feb 2014, 02:58
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hours spend on days other than Sunday = 40-8 = 32
hourse spend on Sunday = 8

32*8.5 + 8*17
16*17 + 8*17
17* (8+16)
17* (24) = 408

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Re: Rene earns $8.50 per hour on days other than Sundays and twi [#permalink]

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New post 13 Feb 2014, 05:32
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Sunday Earnings=$17*8hours=$136
Earnings for the other 6 days=32hours*$8.50=$272
Total Earnings=$272+$136=$408

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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


Given that Rene worked 40 - 8 = 32 hrs @ $8.50/hour on weekdays except Sunday & Rene worked for 8 hrs @ $17.00/hr on Sunday
So, total earnings for the week was 32* $8.5 + 8 * $17 = 16*$17 + 8 * $17= 24*$17 = $408

Answer: (D)

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Re: Rene earns $8.50 per hour on days other than Sundays and twi [#permalink]

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New post 14 Feb 2014, 10:55
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

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



1 hr of Sunday work = 2 hrs of regular day work.
Total of 48 hrs (32 hrs. Mon-Sat + 16 equivalent hrs. on Sunday) at $8.50/hour

48*8.50=408

Only one calculation this way.

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Re: Rene earns $8.50 per hour on days other than Sundays and twi [#permalink]

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New post 15 Feb 2014, 10:42
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I hope a one line solution for this question is
Total amount($)=Time(in Hour)* Wage (in $/hour)
8*17+32*8.5=136+272=408 $

Answer is D

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Re: Rene earns $8.50 per hour on days other than Sundays and twi [#permalink]

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New post 15 Feb 2014, 10:49
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

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



Basic calculation is 32 * 8.5 and 8*17. Lets say you are in hurry and you have 30 secs on the clock.
we can calculate 32 * 17/2 = 16 * 17 and 8 * 17 .
6*7 ends in 2 and 8*7 ends in 6 so the answer ends in 8. Eliminate A/B/E. You just increased the probability by 30% points to 50%. Take a pick and move on.
So try not to click randomly in case of time pressure. Take a calculated guess, doesn't take more than 30 secs including reading the question.

For proper calculation:
16*17 + 8*17 = 256 + 16 + 80 + 56 = 408 - Option D)
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Re: Rene earns $8.50 per hour on days other than Sundays and twi [#permalink]

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New post 16 Feb 2014, 02:50
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Option D.
Total wages=Total hours * hourly wage rate
=>32 * 8.50 + 8 * 17
What I did to solve this is:
32 * 8 + 32 *0.5 +17 * 8
16 + (32+17)*8
16 + 49 * 8
16 + 400 - 8
408

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Re: Rene earns $8.50 per hour on days other than Sundays and twi [#permalink]

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New post 17 Feb 2014, 01:11
SOLUTION

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

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.

Answer: D.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Rene earns $8.50 per hour on days other than Sundays and twi [#permalink]

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New post 27 Jan 2015, 22:49
Cosmas wrote:
Sunday Earnings=$17*8hours=$136
Earnings for the other 6 days=32hours*$8.50=$272
Total Earnings=$272+$136=$408



Since she earned double on Sunday(8 hours) 40+8 * 8.5 =408.
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Re: Rene earns $8.50 per hour on days other than Sundays and twi [#permalink]

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New post 02 Mar 2015, 07:15
408 in less than a minute. Is this really a 600 level question?

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Re: Rene earns $8.50 per hour on days other than Sundays and twi [#permalink]

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Re: Rene earns $8.50 per hour on days other than Sundays and twi [#permalink]

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New post 09 Aug 2017, 13:43
1 step calculation can be:
Since working on Sunday is equal to double pay i.e. 8hrs = 16hr pay
total hours =40
Take it as 48hrs total into $8.5 = $408

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Re: Rene earns $8.50 per hour on days other than Sundays and twi [#permalink]

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New post 22 Aug 2017, 13:21
1. Total Hours - Sunday Hours = 40 - 8 = 32
2. 32 x $8.50 = $272.00
3. 8.5 x 2 = $17.00/hour on Sunday
4. $17.00 x 8 = $136.00
5. $272.00 + $136.00 = $408.00

Answer is (D) $408

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Re: Rene earns $8.50 per hour on days other than Sundays and twi   [#permalink] 22 Aug 2017, 13:21
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