In a particular state, 70 percent of the countries received

BTGmoderatorLU wrote:Source: Princeton Review

In a particular state, 70 percent of the counties received some rain on Monday, and 65 percent of the counties received some rain on Tuesday. No rain fell either day in 25 percent of the counties in the state. What percent of the counties received some rain on Monday and Tuesday?

A. 12.5%
B. 40%
C. 50%
D. 60%
E. 67.5%

The OA is D.

Percentage of countries received rain on either Monday or Tuesday or both = 100 – 25 = 75%

Say,

M = Countries received rain on Monday = 70%;
T = Countries received rain on Tuesday = 65%; and
M & T = Countries received rain on Monday and Tuesday

Thus, 75% = M + T – M & T

75% = 70% + 65% – M & T

M & T = 60%

The correct answer: D

Hope this helps!

-Jay
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BTGmoderatorLU wrote:Source: Princeton Review

In a particular state, 70 percent of the counties received some rain on Monday, and 65 percent of the counties received some rain on Tuesday. No rain fell either day in 25 percent of the counties in the state. What percent of the counties received some rain on Monday and Tuesday?

A. 12.5%
B. 40%
C. 50%
D. 60%
E. 67.5%

We can use the following formula:

100 = rain on Monday + rain on Tuesday - rain on both + rain on neither

100 = 70 + 65 - both + 25

Both = 60

Answer: D