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Billy's candy

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Billy's candy

by srcc25anu » Mon Mar 28, 2011 6:07 am
Billy goes to the candy store and spends $4.50 to buy g gum-balls. How much does one gum-ball cost?

(1) If each of the g gum-balls cost 2 cents more, Billy would have spent 40% more.

(2) If each of the g gum-balls cost 1 cent less, Billy would have saved a total of $0.90

OA - D
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Source: — Data Sufficiency |
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by Geva@EconomistGMAT » Mon Mar 28, 2011 7:47 am
p denotes price of a single gum ball. So from question stem, we get:
gp = 4.5

single equation, two unknowns: cannot isolate p.

Stat. (1) translates into g(p+2) = 4.5*140%.

gp+2g = 4.5*7/5.
That's another equation with g and p. If number of different equations equals number of unknowns, it is possible to solve for the unknowns and find g and p. Stat. (1) is sufficient.

Stat (2): g(p-1) = 4.5-0.9
gp-g = 3.6
Again, two equations with two unknowns is sufficient.

answer is D, unless I'm missing something particularly nasty or far-fetched.
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