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Re: Is the price of an apple greater than that of an orange?
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13 Jul 2017, 23:34

Bunuel wrote:

Is the price of an apple greater than that of an orange?

(1) The price of 10 apples and 15 oranges is $8. (2) The price of 5 apples is $1.30 greater than the price of 6 oranges.

It should be B.

1- 10A + 15O = 8

Gives us nothing about price of either. Insufficient.

2- 5A = 6O + 1.3

A = 1.2O + 1.3/1.5

Statement 2 is sufficient.
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Re: Is the price of an apple greater than that of an orange?
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30 Nov 2017, 09:39

1

Top Contributor

Bunuel wrote:

Is the price of an apple greater than that of an orange?

(1) The price of 10 apples and 15 oranges is $8. (2) The price of 5 apples is $1.30 greater than the price of 6 oranges.

Let A = the price (in dollars) of ONE apple Let O = the price (in dollars) of ONE orange Target question:Is O < A?

Statement 1: The price of 10 apples and 15 oranges is $8 We can write: 10A + 15O = 8 This doesn't tell us the RELATIONSHIP between the two prices. Here's what I mean... There are several values of A and O that satisfy statement 1. Here are two: Case a: A = $0.50 and O = $0.20. So, 10A + 15O = 8 becomes = 10(0.5) + 15(0.2) = 8 (which checks out). In this case, O < A Case b: A = $0.20 and O = $0.40. So, 10A + 15O = 8 becomes = 10(0.2) + 15(0.4) = 8 (which checks out). In this case, O > A Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: The price of 5 apples is $1.30 greater than the price of 6 oranges. This tells us that the cost of 5 apples is GREATER THAN the cost of 6 oranges We can write: 6O < 5A IMPORTANT: We also know that the cost of 5 oranges is LESS THAN the cost of 6 oranges. So, we can write: 5O < 60 When we combine the two red inequalities, we get: 5O < 6O < 5A From this, we can conclude that 5O < 5A Divide both sides by 5 to get: O < A (PERFECT!) Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Re: Is the price of an apple greater than that of an orange?
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15 Dec 2017, 12:04

x - price of apple. y - price of orange.

Statement 1: The price of 10 apples and 15 oranges is $8 \(10 x + 15 y = 8\) => \(15y = -10x + 8\) => \(y = -2 * x /3 + 8 / 15\) If we observe, the slope of this line is -2/3 (negative), y intercept (at x = 0) = 8/15, x intercept (at y = 0) = 4/5 so if we start at x = 0, y = 8/15 and move towards x = 4/5, y = 0 , as we move x increases and y decreases => so we can't conclude which is greater. i.e price of apple or orange => Insufficient

Statement 2: \(5x = 1.3 + 6b\) => \(x = 1.3/5 + 1.2 y\) => x clearly creater than y => Sufficient (Answer B)

gmatclubot

Re: Is the price of an apple greater than that of an orange? &nbs
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15 Dec 2017, 12:04