Problem Set

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Problem Set

by theachiever » Thu Dec 13, 2012 2:48 am
Carolyn, Elsa, and Bryan share an apartment and are splitting a grocery bill. Carolyn's groceries cost 50% more than Elsa's groceries and Carolyn's groceries cost 5/6 as much as Bryan's groceries. If Elsa paid $20 for her groceries, what was the total cost of the groceries?

A) $56.66

B) $60.00

C) $70.00

D) $86.00

E) $94.00
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by GMATGuruNY » Thu Dec 13, 2012 4:19 am
theachiever wrote:Carolyn, Elsa, and Bryan share an apartment and are splitting a grocery bill. Carolyn's groceries cost 50% more than Elsa's groceries and Carolyn's groceries cost 5/6 as much as Bryan's groceries. If Elsa paid $20 for her groceries, what was the total cost of the groceries?

A) $56.66

B) $60.00

C) $70.00

D) $86.00

E) $94.00
Let B = Bryan's groceries, C = Carolyn's groceries, and E = Elsa's groceries.

Elsa paid $20 for her groceries.
E = 20.

Carolyn's groceries cost 50% more than Elsa's groceries.
C = E + 50% = 20 + .5(20) = 30.

Carolyn's groceries cost 5/6 as much as Bryan's groceries.
Since C = (5/6)B, we get:
30 = (5/6)B
B = 180/5 = 36.

Thus:
B+C+E = 36 + 30 + 20 = 86.

The correct answer is D.
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