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GMAT Problem of the Week. Issue#17

What is the total cost of one rose, one tulip, and one lily, in dollars?

(1) One rose, two Gambling tulips, and three lilies cost a total of 20$.
(2) One rose, three tulips, and five lilies cost a total of 32$.
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A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (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. Statements (1) and (2) TOGETHER are NOT sufficient.

5 thoughts on “GMAT Problem of the Week. Issue#17

  1. The answer is C.

    r + t + l = ?

    (1) r + 2t + 3l = 20 – insufficient => not A, not D
    (2) r + 3t + 5l = 32 – insufficient => not B

    C or E – ?

    (1) – (2) =>
    -t – 2l = -12
    t + 2l = 12 (I)

    (1) + (2) =>
    2r + 5t + 8l = 52
    2r + t + 4(t+2l) = 52, (I): t + 2l = 12
    2r + t + 48 = 52
    t + 2r = 4 (II)

    (I) + (II), (I): t + 2l = 12; (II): t+2r = 4;
    t+2l +t + 2r = 12 + 4
    2r + 2t + 2l = 16
    r + t + l = 8

    => C (BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient)

  2. (1) ALONE doesnt give any information about the total cost of three flowers, so not A and D
    (2) ALONE doesnt tell the cost, so not B

    (2)-(1) — 1t+2l=12$ so if 1t+2l=12$ the put this equation into the (1) statement and get 12$+3l=20$ so l=8/3$, so we know the price of the lillies. From 1t+2l=12$ we calculate the price of one tulip… Knowing the price of tulip and lily we easily calculate the of one rose. So the correct answer is C. Please, sorry for short reply, typing on ipad is not comfartable for me.

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