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A garden contains 32 tomato plants. How many pepper plants does the ga

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A garden contains 32 tomato plants. How many pepper plants does the ga  [#permalink]

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New post 20 Mar 2018, 06:53
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A garden contains 32 tomato plants. How many pepper plants does the garden contain?

(1) The ratio of the number of tomato plants to the number of pepper plants is 8 to 3.
(2) If the number of tomato plants is increased by 4, and the number of pepper plants stays the same, the ratio of the number of tomato plants to the number of pepper plants is
3 to 1.

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Re: A garden contains 32 tomato plants. How many pepper plants does the ga  [#permalink]

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New post 20 Mar 2018, 07:09
Bunuel wrote:
A garden contains 32 tomato plants. How many pepper plants does the garden contain?

(1) The ratio of the number of tomato plants to the number of pepper plants is 8 to 3.
(2) If the number of tomato plants is increased by 4, and the number of pepper plants stays the same, the ratio of the number of tomato plants to the number of pepper plants is
3 to 1.


To calculate the number of pepper plants, we need to know the ratio between them and the tomato plants or the total number of tomato+pepper plants.
We'll look for an answer that gives us this information, a Logical approach.

(1) This is precisely what we need.
Sufficient.

(2) This gives us the ratio between 32+4 tomato plants and the pepper plants.
Similarly to the above, this is also sufficient.

(D) is our answer.
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Re: A garden contains 32 tomato plants. How many pepper plants does the ga  [#permalink]

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New post 20 Mar 2018, 07:24
Bunuel wrote:
A garden contains 32 tomato plants. How many pepper plants does the garden contain?

(1) The ratio of the number of tomato plants to the number of pepper plants is 8 to 3.
(2) If the number of tomato plants is increased by 4, and the number of pepper plants stays the same, the ratio of the number of tomato plants to the number of pepper plants is
3 to 1.



St1 : \(\frac{T}{P}\) = \(\frac{8}{3}\)
or \(\frac{32}{P}\) = \(\frac{8}{3}\)
or P = 12...Hence sufficient

St2 : \(\frac{(T+4)}{P}\) = \(\frac{3}{1}\)
or P=12...Hence sufficient.

Answer Option (D)
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Re: A garden contains 32 tomato plants. How many pepper plants does the ga   [#permalink] 20 Mar 2018, 07:24
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