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A certain wooded lot contains 56 oak trees. How many pine

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A certain wooded lot contains 56 oak trees. How many pine

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Source: GMAT Prep

A certain wooded lot contains 56 oak trees. How many pine trees does the lot contain?

1) The ratio of the number of oak trees to the number of pine trees in the lot is 8 to 5.
2) If the number of oak trees was increased by 4 and the number of pine trees remained unchanged, the ratio of the number of oak trees to the number of pine trees in the lot would be 12 to 7.

The OA is D

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BTGmoderatorLU wrote:
Source: GMAT Prep

A certain wooded lot contains 56 oak trees. How many pine trees does the lot contain?

1) The ratio of the number of oak trees to the number of pine trees in the lot is 8 to 5.
2) If the number of oak trees was increased by 4 and the number of pine trees remained unchanged, the ratio of the number of oak trees to the number of pine trees in the lot would be 12 to 7.

The OA is D
Given: There are 56 oak trees.

We have to determine the number of pine trees.

Let's take each statement one by one.

1) The ratio of the number of oak trees to the number of pine trees in the lot is 8 to 5.

=> If there are 8 oak trees, then there are 5 pine trees. Since there are 56 = 8*7 oak trees there must be 5*7 = 35 pine trees.

Sufficient.

2) If the number of oak trees was increased by 4 and the number of pine trees remained unchanged, the ratio of the number of oak trees to the number of pine trees in the lot would be 12 to 7.

=> Number of oak trees now = 56 + 4 = 60. Say there are x numners of pine tress.

Thus, we have 60/x = 12/7 => x = 35. Sufficient.

The correct answer: D

Hope this helps!

-Jay
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