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Please tell me there is an error

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Please tell me there is an error

by rkh13 » Wed Jan 14, 2009 10:11 pm
Q: A pizzeria sells small pizzas for $7.99 and large pizzas for $2.99.
If its total sales last Saturday amounted to $949.00 and it sold 30
large pizzas, how many small pizzas did it sell?

A. 65
B. 70
C. 75
D. 80
E. 85

I tried to use the largest possible value (85) and i still get way
under 949.00.

OA: B.........
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by sachinkr » Wed Jan 14, 2009 10:47 pm
Based on the answer seems like the price of large pizza should be 12.99 instead of 2.99.

949-(12.99*30) = 559.3
No of small pizza sold = 559.3/7.99 = 70
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Re: Please tell me there is an error

by Ian Stewart » Thu Jan 15, 2009 12:56 am
rkh13 wrote:Q: A pizzeria sells small pizzas for $7.99 and large pizzas for $2.99.
If its total sales last Saturday amounted to $949.00 and it sold 30
large pizzas, how many small pizzas did it sell?

A. 65
B. 70
C. 75
D. 80
E. 85

I tried to use the largest possible value (85) and i still get way
under 949.00.

OA: B.........
Yes, there's certainly an error somewhere in the problem. Notice that (if the problem were correctly formulated) you don't need to do any calculation here: if the total earnings is 949.00, and all of the prices end in .99, then the total number of pizzas sold must be a multiple of 100. Why? Well, if you sell one pizza, the total earnings will end in .99, if you sell two it will end in .98, if you sell 30 it will end in .70, etc, because each pizza sells for .01 less than a whole number. So, since 30 large pizzas were sold, 70 must be the answer.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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