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Maria can either buy a basket that contains \(p\) pounds of

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by swerve » Wed Nov 06, 2019 6:24 am
Maria can either buy a basket that contains \(p\) pounds of apples for $16.50 or buy \(p\) pounds of apples at $0.95 per pound. Does it cost Maria more to buy the basket of apples than to buy \(p\) pounds of apples at $0.95 per pound?

1) The basket contains less than 20 pounds of apples.
2) It would cost Maria a total of $18.05 to buy \(p+4\) pounds of apples at $0.95 per pound.

The OA is B

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Source: — Data Sufficiency |
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by joao_cardoso123 » Sun Nov 10, 2019 8:45 am
(1) the fact that the basket contains less than 20 pounds of apples tells us that the cost per pound is more than 0.825$ so this is not enough (more than 0.825$ can be more or less than 0.95$)

(2) knowing that $18.05 is the cost of (p+4) pounds of apples at $0.95 per pound is enough to know, without calculating the exact price, what is the cheapest option.
with the information provided in (2) we can calculate the exact amount that "p" is, because p=18.05/0.95-4; by knowing the exact quantity of p we can calculate the price per pound of apples of the basked by dividing 16.5 by "p"

(2) alone can answer the question; (1) can not answer the question
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