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# M18-27

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Math Expert
Joined: 02 Sep 2009
Posts: 54434

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16 Sep 2014, 01:04
00:00

Difficulty:

5% (low)

Question Stats:

94% (00:37) correct 6% (00:51) wrong based on 178 sessions

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A cherry pie is twice as expensive as an apple pie. If Marta bought 4 cherry pies and 2 apple pies, what percent of the money she paid was used for cherry pies?

A. 54
B. 60
C. 75
D. 80
E. 96

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Math Expert
Joined: 02 Sep 2009
Posts: 54434

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16 Sep 2014, 01:04
Official Solution:

A cherry pie is twice as expensive as an apple pie. If Marta bought 4 cherry pies and 2 apple pies, what percent of the money she paid was used for cherry pies?

A. 54
B. 60
C. 75
D. 80
E. 96

Denote $$C$$ for the price of a cherry pie and $$A$$ for the price of an apple pie. The stem gives that $$C = 2A$$. To answer the question, we have to compute $$\frac{4C}{4C + 2A} = \frac{8A}{8A + 2A} = \frac{8}{10}$$ or 80%.

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08 Jul 2017, 15:24
Bunuel wrote:
A cherry pie is twice as expensive as an apple pie. If Marta bought 4 cherry pies and 2 apple pies, what percent of the money she paid was used for cherry pies?

A. 54
B. 60
C. 75
D. 80
E. 96

$$C = 2A$$

Assume cost of Apple Pie $$= 10$$

Hence, Cost of Cherry Pie $$= 2A = 2 * 10 = 20$$

Marta bought 4 Cherry Pie $$= 4 * 20 = 80$$

Marta bought 2 Apple Pie $$= 2 * 10 = 20$$

Total amount spent by Marta $$= 80 + 20 = 100$$

% of amount spent on Cherry Pie to the total amount spent

$$= \frac{80}{100} * 100$$

$$= 80$$%

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10 Jul 2017, 23:51
let price of apple pie be x
cherry pie=2x
amount on 4 cherry pie =8x
amount on 2 apple pie=2x
total = 10x
percentage of amount spent on cherry pie=(8x/10x)*100=80
hence D
Re: M18-27   [#permalink] 10 Jul 2017, 23:51
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