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An orchard contains only cherry trees, apple trees
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25 Nov 2025, 15:51
25 Nov 2025, 15:51
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Question Stats:
88% (01:42) correct
11% (02:14) wrong based on 9 sessions
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An orchard contains only cherry trees, apple trees and peach trees. The ratio of apple trees to peach trees is $2: 3$, and the ratio of cherry trees to peach trees is $2: 1$. There are 33 trees altogether.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Number of peach trees |
8 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
- Part of the project: GRE Daily Quant Challenge - Topic-Wise 2025!!!
- Also replying to the unanswered questions
Re: An orchard contains only cherry trees, apple trees
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13 Dec 2025, 13:00
13 Dec 2025, 13:00
Expert Reply
Let the numbers of apple, peach, and cherry trees be $A, P, C$.
From the ratios:
- $\(A: P=2: 3 \Rightarrow A=\frac{2}{3} P\)$.
- $\(C: P=2: 1 \Rightarrow C=2 P\)$.
Total trees:
$$
\(A+P+C=\frac{2}{3} P+P+2 P=\frac{11}{3} P=33 \Rightarrow P=9\) .
$$
Quantity $A=9$, Quantity $B=8$, so Quantity $A$ is greater.
From the ratios:
- $\(A: P=2: 3 \Rightarrow A=\frac{2}{3} P\)$.
- $\(C: P=2: 1 \Rightarrow C=2 P\)$.
Total trees:
$$
\(A+P+C=\frac{2}{3} P+P+2 P=\frac{11}{3} P=33 \Rightarrow P=9\) .
$$
Quantity $A=9$, Quantity $B=8$, so Quantity $A$ is greater.
gmatclubot
Re: An orchard contains only cherry trees, apple trees [#permalink]
13 Dec 2025, 13:00
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