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Chef Martha is preparing a pie for a friend's birthday. How much more of substance X does she need than substance Y?
(1) Martha needs 10 cups of substance X
(2) Martha needs the substances W, X, Y, and Z in the ratio: 15:5:2:1 and she needs 4 cups of substance Y
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • b)
    bStatement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
  • d)
    EACH statement ALONE is sufficient.
  • e)
    Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Chef Martha is preparing a pie for a friends birthday. How much more o...
Statement (1): Martha needs 10 cups of substance X
- This statement alone tells us the quantity of substance X needed, but it does not provide any information about substance Y or the comparison between X and Y. Therefore, it is not sufficient to answer the question.

Statement (2): Martha needs the substances W, X, Y, and Z in the ratio: 15:5:2:1 and she needs 4 cups of substance Y
- This statement provides information about the ratio of substances W, X, Y, and Z, as well as the quantity of substance Y needed (4 cups). However, it does not give the specific quantities of X and Y, so we cannot determine the difference between them. Therefore, it is not sufficient to answer the question.

Combining both statements:
- Statement (1) tells us that Martha needs 10 cups of substance X, and statement (2) tells us that Martha needs 4 cups of substance Y.
- Since both substances are part of the ratio mentioned in statement (2), we can compare their quantities.
- According to the ratio in statement (2), the quantity of substance X is 5 times the quantity of substance Y (5:1 ratio).
- Therefore, Martha needs 5 times more substance X than substance Y.
- The combination of both statements is sufficient to answer the question.

Conclusion:
- Option (B) is correct because statement (2) alone is sufficient to answer the question, while statement (1) alone is not sufficient.
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Chef Martha is preparing a pie for a friends birthday. How much more o...
  1. The phrase "how much more of substance X does she need than substance Y" can be translated into algebra as: X - Y
  2. Evaluate Statement (1) alone.
    1. Although X = 10, there is no information about Y. Consequently, we cannot determine the value of X - Y
    2. Statement (1) is NOT SUFFICIENT.
  3. Evaluate Statement (2) alone.
    1. Y = 4 and the ratio of X:Y = 5:2. Consequently, X = 10 and X - Y = 10 - 4 = 6
    2. Statement (2) is SUFFICIENT.
  4. Since Statement (1) alone is NOT SUFFICIENT but Statement (2) alone is SUFFICIENT, answer B is correct.
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Chef Martha is preparing a pie for a friends birthday. How much more of substance X does she need than substance Y?(1) Martha needs 10 cups of substance X(2) Martha needs the substances W, X, Y, and Z in the ratio: 15:5:2:1 and she needs 4 cups of substance Ya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)bStatement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'B'. Can you explain this answer?
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