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# In a barrel of mixed fruit the ratio of apples to pears is a : p and t

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Joined: 02 Sep 2009
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In a barrel of mixed fruit the ratio of apples to pears is a : p and t  [#permalink]

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04 Jan 2018, 23:32
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Difficulty:

45% (medium)

Question Stats:

60% (01:44) correct 40% (01:34) wrong based on 35 sessions

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In a barrel of mixed fruit the ratio of apples to pears is a : p and the ratio of oranges to pears is o : q. In terms of a, o, p, and q, what is the ratio of apples to oranges?

A. aq/(op)

B. ap/(oq)

C. a/o

D. (q + a)/(p + o)

E. (p + a)/(q + o)

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In a barrel of mixed fruit the ratio of apples to pears is a : p and t  [#permalink]

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05 Jan 2018, 01:56
Bunuel wrote:
In a barrel of mixed fruit the ratio of apples to pears is a : p and the ratio of oranges to pears is o : q. In terms of a, o, p, and q, what is the ratio of apples to oranges?

A. aq/(op)

B. ap/(oq)

C. a/o

D. (q + a)/(p + o)

E. (p + a)/(q + o)

Assume numbers to show that- a:p = 2:5 and o:q = 3:10
To get the ratio of a:o, we have to double to the ratio of a:p, which is 4:10
in order to make the number of pears equal in both the ratios
Therefore, the ratio of apples to oranges is 4:3

Evaluating answer options, we substitute the values of a,p,o, and q
Substituting the value in Option A(aq:op) we get 2*10:5"3 = 20:15 = 4:3

If the ratio of apples to pears is a:p and ratio of oranges to pears is o:q, the ratio of apples to oranges must be aq:op(Option A)
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In a barrel of mixed fruit the ratio of apples to pears is a : p and t   [#permalink] 05 Jan 2018, 01:56
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