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Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand Y cat foods. If Sergio’s cat eats only this mix of cat food and she consumes 103 grams of fat per day, what is the amount of Brand X cat food that she receives each day?
(1) Brand X cat food consists of 35 percent fat.
(2) Brand Y cat food consists of 11 percent fat.
  • 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?
Verified Answer
Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand...
Statement (1): Brand X cat food consists of 35 percent fat.
Statement (2): Brand Y cat food consists of 11 percent fat.
From Statement (1), we know the fat content of Brand X cat food. From Statement (2), we know the fat content of Brand Y cat food. In order to determine the amount of Brand X cat food in the mixture, we need to consider the fat content and weight of both brands.
Let's assume that Sergio feeds x grams of Brand X cat food and y grams of Brand Y cat food. We are given that the total mixture weighs 500 grams and contains 103 grams of fat.
From Statement (1), we can write the equation: 0.35x = (35/100)x grams of fat from Brand X cat food.
From Statement (2), we can write the equation: 0.11y = (11/100)y grams of fat from Brand Y cat food.
Since the cat consumes 103 grams of fat per day, we have the equation: (35/100)x + (11/100)y = 103.
Combining these equations, we have a system of two equations with two variables:
(35/100)x + (11/100)y = 103,
x + y = 500.
With these equations, we can solve for x, the amount of Brand X cat food in grams.
Therefore, BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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Most Upvoted Answer
Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand...
Statement (1): Brand X cat food consists of 35 percent fat.
Statement (2): Brand Y cat food consists of 11 percent fat.
From Statement (1), we know the fat content of Brand X cat food. From Statement (2), we know the fat content of Brand Y cat food. In order to determine the amount of Brand X cat food in the mixture, we need to consider the fat content and weight of both brands.
Let's assume that Sergio feeds x grams of Brand X cat food and y grams of Brand Y cat food. We are given that the total mixture weighs 500 grams and contains 103 grams of fat.
From Statement (1), we can write the equation: 0.35x = (35/100)x grams of fat from Brand X cat food.
From Statement (2), we can write the equation: 0.11y = (11/100)y grams of fat from Brand Y cat food.
Since the cat consumes 103 grams of fat per day, we have the equation: (35/100)x + (11/100)y = 103.
Combining these equations, we have a system of two equations with two variables:
(35/100)x + (11/100)y = 103,
x + y = 500.
With these equations, we can solve for x, the amount of Brand X cat food in grams.
Therefore, BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand Y cat foods. If Sergio’s cat eats only this mix of cat food and she consumes 103 grams of fat per day, what is the amount of Brand X cat food that she receives each day?(1) Brand X cat food consists of 35 percent fat.(2) Brand Y cat food consists of 11 percent fat.a)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
Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand Y cat foods. If Sergio’s cat eats only this mix of cat food and she consumes 103 grams of fat per day, what is the amount of Brand X cat food that she receives each day?(1) Brand X cat food consists of 35 percent fat.(2) Brand Y cat food consists of 11 percent fat.a)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 Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand Y cat foods. If Sergio’s cat eats only this mix of cat food and she consumes 103 grams of fat per day, what is the amount of Brand X cat food that she receives each day?(1) Brand X cat food consists of 35 percent fat.(2) Brand Y cat food consists of 11 percent fat.a)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 Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand Y cat foods. If Sergio’s cat eats only this mix of cat food and she consumes 103 grams of fat per day, what is the amount of Brand X cat food that she receives each day?(1) Brand X cat food consists of 35 percent fat.(2) Brand Y cat food consists of 11 percent fat.a)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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