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Carmen's weekly pay

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EricKryk Senior | Next Rank: 100 Posts Default Avatar
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Carmen's weekly pay

Post Fri Feb 21, 2014 8:31 am
Carmen currently works 30 hours per week at her part-time job. If her gross hourly wage were to increase by $1.50, how many fewer hours could she work per week and still earn the same gross weekly pay as before the increase?

1) Her gross weekly pay is currently $225

2) An increase of $1.50 would represent an increase of 20 percent of her gross hourly wage

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Post Fri Feb 21, 2014 2:29 pm
Hi EricKryk,

This DS question includes some great "system" short-cuts that are work knowing:

We're told that Carmen works 30 hours per week at a certain pay rate. We're told that her hourly pay will increase by $1.50. The question asks how many FEWER hours would she need to work to get the same total weekly pay.

From the prompt, we can create the following equations:

30(X) = pay/week X = pay/hour
(30-H)(X + 1.50) = same pay/week H = number of fewer hours

Fact 1: Weekly pay = 225

With this info, we now know….

30X = 225, so we CAN solve for X. With THAT value, we can plug into the second equation:

(30-H)(Value + 1.50) = 225

With 1 variable and 1 equation, we can solve for H and answer the question.
Fact 1 is SUFFICIENT

Fact 2: The $1.50 increase would be an increase of 20% over the normal hourly wage

This info can be rewritten as…

1.50 = .2(X)

Just as in Fact 1, we CAN solve for X, then we CAN solve for H.
Fact 2 is SUFFICIENT

Final Answer: D

GMAT assassins aren't born, they're made,
Rich

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Patrick_GMATFix GMAT Instructor
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Post Fri Feb 21, 2014 8:47 am
weekly pay = wage * hours. If we knew Carmen's initial wage, we would know the new wage, and we would know how to adjust hours to keep wage * hours constant. Rephrase to: "What is Carmen's wage"?. Each statement gives us a way to find this wage.

The full solution below is taken from the GMATFix App.

ttp://www.youtube.com/watch?v=fnGgHSEDZt4" target="_blank">

-Patrick

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