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

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Math Expert
Joined: 02 Sep 2009
Posts: 44588
A garden contains 32 tomato plants. How many pepper plants does the ga [#permalink]

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20 Mar 2018, 06:53
00:00

Difficulty:

25% (medium)

Question Stats:

88% (00:44) correct 12% (01:09) wrong based on 25 sessions

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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.
[Reveal] Spoiler: OA

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Joined: 07 Dec 2017
Posts: 292
Re: A garden contains 32 tomato plants. How many pepper plants does the ga [#permalink]

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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.

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

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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.

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