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cottages

Expert replies
by grandh01 » Mon Aug 06, 2012 8:17 pm
Cottages at a resort are rented for half
the summer price in each of the 3
spring months and one-third the
summer price in each of the 6 fall and
winter months. If each cottage brings in
a total of $3,861 when rented for each
of the 12 months of the year, what is
the monthly rent for each of the 3
summer months?
(A) $297
(B) $594
(C) $702
(D) $858
(E) $1,782
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Source: — Problem Solving |

by Anurag@Gurome » Mon Aug 06, 2012 8:21 pm
grandh01 wrote:Cottages at a resort are rented for half
the summer price in each of the 3
spring months and one-third the
summer price in each of the 6 fall and
winter months. If each cottage brings in
a total of $3,861 when rented for each
of the 12 months of the year, what is
the monthly rent for each of the 3
summer months?
(A) $297
(B) $594
(C) $702
(D) $858
(E) $1,782
Let the summer price for each month be $N.
Thus, price for each of the spring months = N/2
Price for each of the 6 fall and winter months = N/3

So, 3N + 3N/2 + 2N = 3861
(6N + 3N + 4N)/2 = 3861
13N = 7722
Therefore, N = 7722/13 = [spoiler]$594[/spoiler]

The correct answer is B.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
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