A produce stand sells green peppers for a certain price and red pepper

Question

A produce stand sells green peppers for a certain price and red peppers for a different price. If Nick, Katie, and Alyssa bought peppers at the stand, how much did Alyssa pay for 2 green peppers and 3 red peppers?

(1) Nick bought 6 green peppers and 9 red peppers for $12.00.
(2) Katie bought 4 green peppers and 3 red peppers for $5.00.

Kudos for a correct  solution .

Gnpth · Answer

Let Green Peppers= G and Red Peppers=R

We need to find the value for 2G+3R?

St.1: 6G+9R=$12.

If we divide this by 3, then we get,

2G+3R=4$. So sufficient. Eliminate B, C and E.

St.2: 4G+3R=5$.

We cannot deduce anything from this statement. So Insufficient. So Eliminate D.

Statement 1 alone sufficient. So answer is A.

chetan2u · Answer

ans is A... as the ratio of two types of peppers are same for the two person so the value too will be in the same ratio

DesiGmat · Answer

Here we go---

Let price of Red Pepper = r
Let price of Green Pepper = g

2g + 3r = ???

St1:

6g + 9r = 12 ---(1) divide the eq by 3

2g + 3r = 4 (that is what we want)

Clearly sufficient

St2:

4g + 3r = 5

There can be multiple values for g and r.

Clearly not sufficient.

Option A is correct

Bunuel · Answer

VERITAS PREP OFFICIAL SOLUTION:

Correct Answer: A

Let g be the price for each green pepper, and r be the price for each red pepper. Statement (1) lets us express Nick's purchase as 6g + 9r = $12.00. Normally, since we only have one equation and two variables, we would not be able to solve this. However, note that this is the same equation as the one stated in the question: Nick simply purchased 3 times as many peppers (of each type) as did Alyssa, and $12.00/3 = $4.00, so Statement (1) is sufficient. Statement (2) is equivalent to 4g + 3r = $5.00. Here we have one equation and two variables, but this equation is not a multiple of the original equation like the equation in statement (1); not sufficient.

bumpbot · Answer

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A produce stand sells green peppers for a certain price and red pepper

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