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Ann and Bob planted trees on Friday. What is the ratio of

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Ann and Bob planted trees on Friday. What is the ratio of

by BTGmoderatorDC » Sat Jul 06, 2019 6:05 pm

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Ann and Bob planted trees on Friday. What is the ratio of the number of trees that Bob planted to the number of trees that Ann planted?

(1) Ann planted 20 trees more than Bob planted.

(2) Ann planted 10 percent more trees than Bob planted.

OA B

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Source: — Data Sufficiency |

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by Ian Stewart » Sun Jul 07, 2019 3:34 am

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For Statement 1, if Bob planted 1 tree, then Ann planted 21, and the ratio is 1 to 21. But if Bob planted 1 billion trees, the ratio is very close to 1 to 1, so Statement 1 is not sufficient.

For Statement 2, for every 10 trees Bob planted, Ann planted 11, so the ratio is 10 to 11 and Statement 2 is sufficient.
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by swerve » Sun Jul 07, 2019 10:11 am

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(1) Ann planted 20 trees more than Bob planted.

Multiple values for the number of trees planted by each. Insufficient

(2) Ann planted 10 percent more trees than Bob planted
\begin{align*}
A &= 1.1\cdot B \\
\frac{A}{B} &= \frac{1.1}{1} \\
\frac{A}{B} &= \frac{11}{10} \\
\end{align*}
Sufficient

Hence, __B__.
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