Bunuel wrote:

Tom is selling apples and oranges. The ratio of apples to oranges in his cart is 3:2. If he has 12 oranges, how many apples does he have?

(A) 2

(B) 3

(C) 8

(D) 18

(E) 30

Ratio of apples to oranges is 3:2. Tim has 12 oranges. How many apples?

Method I:

\(\frac{A}{O}\) = \(\frac{3x}{2x}\)

\(O = 12 = 2x\)

\(x = 6\), the multiplier for the ratio

He has 3x apples, (3*6) = 18 apples

Method II:

\(\frac{A}{O}\) = \(\frac{3}{2}\)\(2A = 3 O\)\(A =\frac{3}{2}O\), and

\(O = 12\)\(A = \frac{3}{2}\)(12) = 18 apples

Answer D

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