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Pea, tomato, and spinach plants are planted in a field. For
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19 Jan 2020, 02:36
19 Jan 2020, 02:36
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Question Stats:
36% (02:23) correct
63% (02:56) wrong based on 11 sessions
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Pea, tomato, and spinach plants are planted in a field. For every 2 pea plants, there are 3 tomato plants, and for every 5 pea plants, there are 6 spinach plants. Spinach is sown 18 plants to a row and tomatoes 12 plants to a row, with no partial or mixed-crop rows. What is the minimum number of spinach plants in the field?
(A) 36
(B) 72
(C) 120
(D) 144
(E) 180
Kudos for the right answer and explanation
(A) 36
(B) 72
(C) 120
(D) 144
(E) 180
Kudos for the right answer and explanation
Re: Pea, tomato, and spinach plants are planted in a field. For
[#permalink]
06 Feb 2020, 07:39
06 Feb 2020, 07:39
Let’s denote number of pea, tomato and spinach plants as p, t and s accordingly.
We get:
p:t = 2:3 equivalent to 10:15
p:s = 5:6 equivalent to 10:12
Or
p:t:s = 10:15:12
From above we get
t:s = 15:12
Spinach is sown in multiples of 18 and tomatoes are sown in multiples of 12.
Let’s test the numbers from the lowest to greatest offered here:
(A) If s -= 36, it is multiple of 18. Then t = 3*15= 45 not a multiple of 12. So, the answer is not A.
(B) If s -= 72, it is multiple of 18. Then t = 6*15 = 80 not a multiple of 12. So, the answer is not B.
(C) If s = 120, it is not a multiple of 18. So, the answer is not C.
(D) If s -= 144. It is multiple of 18. Then t = 12*15 = 180. It IS a multiple of 12 not an integer. It seems that we have our answer!
(E) Test it is to make sure D is correct. If s = 180. It is multiple of 18. Then t = 15*15 = 225 which is not a multiple of 12.
The answer is D
We get:
p:t = 2:3 equivalent to 10:15
p:s = 5:6 equivalent to 10:12
Or
p:t:s = 10:15:12
From above we get
t:s = 15:12
Spinach is sown in multiples of 18 and tomatoes are sown in multiples of 12.
Let’s test the numbers from the lowest to greatest offered here:
(A) If s -= 36, it is multiple of 18. Then t = 3*15= 45 not a multiple of 12. So, the answer is not A.
(B) If s -= 72, it is multiple of 18. Then t = 6*15 = 80 not a multiple of 12. So, the answer is not B.
(C) If s = 120, it is not a multiple of 18. So, the answer is not C.
(D) If s -= 144. It is multiple of 18. Then t = 12*15 = 180. It IS a multiple of 12 not an integer. It seems that we have our answer!
(E) Test it is to make sure D is correct. If s = 180. It is multiple of 18. Then t = 15*15 = 225 which is not a multiple of 12.
The answer is D
gmatclubot
Re: Pea, tomato, and spinach plants are planted in a field. For [#permalink]
06 Feb 2020, 07:39
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