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An 80-ounce juice mix is made up of only apple, grape, and pomegranate juice. How many ounces of the mix is pomegranate juice?

(1) Increasing the amount of apple juice by 50 percent would yield a ratio of apple juice to grape juice of 2:1.
(2) Increasing the amount of apple juice by 50 percent would yield a juice mix of 100 ounces
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
  • d)
    EACH statement ALONE is sufficient to answer the question asked
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
An 80-ounce juice mix is made up of only apple, grape, and pomegranate...
Given that there is a total of 80 ounces of juice consisting of apple, grape, and pomegranate juice, we need to determine the amount of pomegranate juice in the mix.
Statement 1 tells us that increasing the amount of apple juice by 50% results in an apple-to-grape juice ratio of 2:1. However, this statement does not provide any information about the quantity of pomegranate juice. Therefore, it is not sufficient on its own to determine the amount of pomegranate juice.
Statement 2 states that increasing the amount of apple juice by 50% would yield a total juice mix of 100 ounces. By solving the equation 0.5A = 20, where A represents the initial amount of apple juice, we find that A = 40 ounces. However, this statement also does not provide any information about the amount of pomegranate juice. Hence, it is not sufficient alone.
By combining the information from both statements, we can establish the ratio between apple and grape juice from Statement 1 and determine that A = 40 ounces from Statement 2. With these combined details, we can calculate the value of G (amount of grape juice) and consequently determine the value of P (amount of pomegranate juice) in the mixture.
Therefore, the correct answer is Option C.
Community Answer
An 80-ounce juice mix is made up of only apple, grape, and pomegranate...
Statement 1:
Increasing the amount of apple juice by 50 percent would yield a ratio of apple juice to grape juice of 2:1.

This statement provides information about the ratio of apple juice to grape juice when the amount of apple juice is increased by 50 percent. However, it does not provide any information about the amount of pomegranate juice in the mix. Therefore, statement 1 alone is not sufficient to answer the question asked.

Statement 2:
Increasing the amount of apple juice by 50 percent would yield a juice mix of 100 ounces.

This statement provides information about the total amount of juice mix when the amount of apple juice is increased by 50 percent. However, it does not provide any information about the specific amounts of each type of juice (apple, grape, pomegranate) in the mix. Therefore, statement 2 alone is not sufficient to answer the question asked.

Statements 1 and 2 together:
From statement 1, we know that increasing the amount of apple juice by 50 percent would yield a ratio of apple juice to grape juice of 2:1. Let's assume the amount of apple juice in the original mix is A ounces and the amount of grape juice is G ounces. Then, according to statement 1, we have the equation:

(A + 0.5A) / G = 2/1
1.5A / G = 2/1
1.5A = 2G

From statement 2, we know that increasing the amount of apple juice by 50 percent would yield a juice mix of 100 ounces. Therefore, we have the equation:

A + 0.5A + G + P = 100
1.5A + G + P = 100

We have two equations with two variables (A and G), and we can solve them simultaneously to find the values of A and G. Once we know the values of A and G, we can calculate the amount of pomegranate juice in the mix by subtracting the amounts of apple and grape juice from the total mix (80 ounces).

Therefore, both statements together are sufficient to answer the question asked.

Hence, the correct answer is option C.
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An 80-ounce juice mix is made up of only apple, grape, and pomegranate juice. How many ounces of the mix is pomegranate juice?(1) Increasing the amount of apple juice by 50 percent would yield a ratio of apple juice to grape juice of 2:1.(2) Increasing the amount of apple juice by 50 percent would yield a juice mix of 100 ouncesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?
Question Description
An 80-ounce juice mix is made up of only apple, grape, and pomegranate juice. How many ounces of the mix is pomegranate juice?(1) Increasing the amount of apple juice by 50 percent would yield a ratio of apple juice to grape juice of 2:1.(2) Increasing the amount of apple juice by 50 percent would yield a juice mix of 100 ouncesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about An 80-ounce juice mix is made up of only apple, grape, and pomegranate juice. How many ounces of the mix is pomegranate juice?(1) Increasing the amount of apple juice by 50 percent would yield a ratio of apple juice to grape juice of 2:1.(2) Increasing the amount of apple juice by 50 percent would yield a juice mix of 100 ouncesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An 80-ounce juice mix is made up of only apple, grape, and pomegranate juice. How many ounces of the mix is pomegranate juice?(1) Increasing the amount of apple juice by 50 percent would yield a ratio of apple juice to grape juice of 2:1.(2) Increasing the amount of apple juice by 50 percent would yield a juice mix of 100 ouncesa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.
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