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hb
A street vendor sells only apples and pineapples, and all apples weigh 6.5 ounces, while all pineapples weigh 13 ounces. If she sells twice as many apples as pineapples, how many apples does she sell.

(1) She sells 8 more apples than pineapples.
(2) She sells an equal amount, by weight, of apples and pineapples.

Source: Veritas Prep; Book 08
Chapter: 4
Topic: Data Sufficiency
Question: 14
Question: Page 89
Solution: Page 91

Answer:
Item; Weight; Quantity
Apples; 6.5 ounces; a
Pineapples; 13.0 ounces; p
a = 2p

Statement 1: a = p + 8. From the question we know that a = 2p. Substituting, we get 2p=p+8; p=8; a=16. This provides one value. Hence sufficient. Based on this the answer choice B, C, E are eliminated.
Statement 2: 6.5a = 13p; a=2p. This is the same as equation in the question [a=2p]. Since the answer choice mirrors the question, it is sufficient. The answer choice is D based on the concept above.

I formed this concept on another Veritas Prep Question provided on page 41. The solution is provided on page 45. The question is a drill.
Is 2x=3y+z
(1) \(x-z=\frac{3y}{2}\)
Solving statement 1, it becomes 2x=3y+z. According to the Veritas Prep Answer, whenever a statement exactly mirrors the question stem, it is sufficient.

Why is the Answer Choice A and not D ? Please explain.

The question asks: a=? While saying that a=2p.

(2) says that a=2p. The same info as given in the stem. So, this statement is not sufficient to get the value of a.

Had the question be: is a=2p, then (2) would be sufficient.

Hope it's clear.
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The question asks: a=? While saying that a=2p.

(2) says that a=2p. The same info as given in the stem. So, this statement is not sufficient to get the value of a.

Had the question be: is a=2p, then (2) would be sufficient.

Hope it's clear.

bb then the qn will be

A street vendor sells only apples and pineapples, and all apples weigh 6.5 ounces, while all pineapples weigh 13 ounces. Will she sell twice as many apples as pineapples?

(1) She sells 8 more apples than pineapples.
(2) She sells an equal amount, by weight, of apples and pineapples.

Answer would be B as Statement 1 is not sufficient and statement 2 is sufficient.
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