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# Tom is selling apples and oranges. The ratio of apples to oranges in

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Math Expert
Joined: 02 Sep 2009
Posts: 54368
Tom is selling apples and oranges. The ratio of apples to oranges in  [#permalink]

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16 Aug 2017, 01:53
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Difficulty:

5% (low)

Question Stats:

91% (00:21) correct 9% (00:00) wrong based on 34 sessions

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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

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Joined: 22 May 2016
Posts: 2632
Tom is selling apples and oranges. The ratio of apples to oranges in  [#permalink]

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16 Aug 2017, 10:46
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

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Tom is selling apples and oranges. The ratio of apples to oranges in   [#permalink] 16 Aug 2017, 10:46
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