AAPL wrote:Economist GMAT
Danny spends $360 buying his favorite dolls. If he buys only small LemonHead dolls, which are $1 cheaper than the large LemonHead dolls, he could buy 5 more dolls than if he were to buy only large LemonHead dolls. How much does a large LemonHead doll cost?
A. $5
B. $6
C. $7.2
D. $8
E. $9
Since a small doll costs $1 less than a large doll, the answer choices imply the following options for the price of a small doll:
4
5
6.2
7
8
Given that all of the values in the prompt are INTEGERS, the price of a small doll is almost certain to be a factor of 360.
Only the values in blue divide evenly into 360.
Thus, the correct answer is probably A, B or E.
When the correct answer is plugged in, Danny will be able to purchase 5 more large dolls than small dolls.
B: $6 for each large doll, implyinh $5 for each small doll
Number of $6 large dolls that can be purchased for $360 = 360/6 = 60.
Number of $5 small dolls that can be purchased for $360 = 360/5 = 72.
(number of small dolls) - (number of large dolls) = 72-60 = 12.
Since Danny can purchase 12 more small dolls than large dolls, eliminate B.
E: $9 for each large doll, implying $8 for each small doll
Number of $9 large dolls that can be purchased for $360 = 360/9 = 40.
Number of $8 small dolls that can be purchased for $360 = 360/8 = 45.
(number of small dolls) - (number of large dolls) = 45-40 = 5.
Success!
The correct answer is
E.
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