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M14-37

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Math Expert
Joined: 02 Sep 2009
Posts: 54696

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16 Sep 2014, 00:54
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5% (low)

Question Stats:

93% (01:15) correct 7% (02:03) wrong based on 75 sessions

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If 10 dollars are equivalent to 24 francs and 12 pounds are equivalent to 36 francs, how many pounds is 95 dollars?

A. 58
B. 64
C. 68
D. 76
E. 82

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Math Expert
Joined: 02 Sep 2009
Posts: 54696

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16 Sep 2014, 00:54
Official Solution:

If 10 dollars are equivalent to 24 francs and 12 pounds are equivalent to 36 francs, how many pounds is 95 dollars?

A. 58
B. 64
C. 68
D. 76
E. 82

Given:

$$10 \text{ dollars} = 24 \text{ francs}$$;

$$12 \text{ pounds} = 36 \text{ francs}$$, which means that $$8 \text{ pounds} = 24 \text{ francs}$$;

So, $$10 \text{ dollars} = 8 \text{ pounds}$$ hence $$95 \text{ dollars} = 8*9.5 \text{ pounds}= 76 \text{ pounds}$$.

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29 Dec 2016, 06:56
Bunuel wrote:
If 10 dollars are equivalent to 24 francs and 12 pounds are equivalent to 36 francs, how many pounds is 95 dollars?

A. 58
B. 64
C. 68
D. 76
E. 82

10D=24F => D=2.4F
12P=36F=>F=1/3P

Substituting => D=2.4(1/3)P
=> D=0.8P

95D=95(0.8p)
=>95D=76P

D.
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12 Aug 2017, 03:03
Bunuel wrote:
If 10 dollars are equivalent to 24 francs and 12 pounds are equivalent to 36 francs, how many pounds is 95 dollars?

A. 58
B. 64
C. 68
D. 76
E. 82

y pounds= $95$10=24 francs
36 francs = 12 pounds
Now,
y x 10 x 36 = 95 x 24 x 12
i.e y=76
Hence, Ans is D
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Re: M14-37   [#permalink] 12 Aug 2017, 03:03
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