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The ratio of the number of plants that Keisha has to the number of pla
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07 Apr 2021, 05:19
07 Apr 2021, 05:19
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Question Stats:
85% (02:06) correct
14% (02:23) wrong based on 14 sessions
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The ratio of the number of plants that Keisha has to the number of plants Sam has is 1:5. After Sam gives Keisha 5 plants, the ratio of plants Keisha has to the plants Sam has will be 2:7. How many more plants will Sam have than Keisha after 5 plants are given?
A. 30
B. 45
C. 50
D. 60
E. 75
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 30
B. 45
C. 50
D. 60
E. 75
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: The ratio of the number of plants that Keisha has to the number of pla
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07 Apr 2021, 05:49
07 Apr 2021, 05:49
1
Carcass wrote:
The ratio of the number of plants that Keisha has to the number of plants Sam has is 1:5. After Sam gives Keisha 5 plants, the ratio of plants Keisha has to the plants Sam has will be 2:7. How many more plants will Sam have than Keisha after 5 plants are given?
A. 30
B. 45
C. 50
D. 60
E. 75
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 30
B. 45
C. 50
D. 60
E. 75
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Another approach...
Let K = # of plants that Keisha PRESENTLY has
Let S = # of plants that Sam PRESENTLY has
The ratio of the number of plants that Keisha has to the number of plants Sam has is 1:5
We can write: K/S = 1/5
Cross multiply to get: 5K = S
After Sam gives Keisha 5 plants, the ratio of plants Keisha has to the plants Sam has will be 2:7
After Sam gives Keisha 5 plants, we have
K + 5 = # of plants Keisha has
S - 5 = # of plants Sam has
So, we can write: (K +5)/(S - 5) = 2/7
Cross multiply to get: 7(K + 5) = 2(S - 5)
Expand: 7K + 35 = 2S - 10
Simplify: 7K - 2S = -45
We now have two equations with 2 variables:
5k = S
7K - 2S = -45
Take bottom equation and replace S with 5K to get: 7K - 2(5K) = -45
Simplify: -3K = -45
Solve: K = 15
So, Keisha PRESENTLY has 15 plants, which means Sam PRESENTLY has 75 plants
After Sam gives Keisha 5 plants, Keisha has 20 plants and Sam has 70 plants
How many more plants will Sam have than Keisha after 5 plants are given?
70 - 20 = 50
Answer: C
gmatclubot
Re: The ratio of the number of plants that Keisha has to the number of pla [#permalink]
07 Apr 2021, 05:49
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