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An orchard contains only cherry trees, apple trees and peach trees. Th
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21 Oct 2022, 04:14
21 Oct 2022, 04:14
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Question Stats:
82% (01:13) correct
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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 QCQ & PS 3 Questions Every One DAILY Challenge - (2022) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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An orchard contains only cherry trees, apple trees and peach trees. Th
[#permalink]
07 Nov 2022, 12:13
07 Nov 2022, 12:13
2
Carcass wrote:
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 QCQ & PS 3 Questions Every One DAILY Challenge - (2022) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
\(\frac{A}{P} = \frac{2}{3}\) and \(\frac{C}{P} = \frac{2}{1}\)
Lets make P equal in both the fractions:
\(\frac{A}{P} = \frac{2}{3}\) and \(\frac{C}{P} = \frac{(2)(3)}{(1)(3)}\)
Hence, the ratio of \(A : P : C = 2 : 3 : 6\)
Now, \(P = \frac{P}{(A + P + C)}(Total) = \frac{3}{(2 + 3 + 6)}(33) = \frac{3}{11}(33) = (3)(3) = 9\)
Col. A: 9
Col. B: 8
Col. A > Col. B
Hence, option A
Re: An orchard contains only cherry trees, apple trees and peach trees. Th
[#permalink]
06 Jan 2024, 09:17
06 Jan 2024, 09:17
Apple : peach : cherry
2 : 3
1 : 2
total = 4:3: 6
3 parts (peach) = 33
1 part = 11
quantity A > B
2 : 3
1 : 2
total = 4:3: 6
3 parts (peach) = 33
1 part = 11
quantity A > B
