Multiple choice

A smoothie mixture was formed by blending exactly 3 kinds of juice: mango, berry, and citrus. By volume, the mixture was x% mango juice, y% berry juice, and z% citrus juice. If exactly 3 liters of mango juice and 6 liters of citrus juice were used, how many liters of berry juice were used? (1) x = y (2) z = 50

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

  3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

  4. EACH statement ALONE is sufficient.

  5. Statements (1) and (2) TOGETHER are NOT sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let total volume be V. Mango = 3L, Citrus = 6L. Berry = B. x = 3/V, y = B/V, z = 6/V. (1) x=y implies 3/V = B/V, so B=3. (2) z=50 implies 6/V = 0.5, so V=12. Then B = V - 3 - 6 = 3. Both statements are sufficient individually.

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