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In Town X, \(\frac{2}{3}\) of the males and \(\frac{3}{5}\) of the females speak Spanish. If the ratio of females to males in the town is 2:3, what percentage of the total population in Town X speaks Spanish?

In Town X, \(\frac{2}{3}\) of the males and \(\frac{3}{5}\) of the females speak Spanish. If the ratio of females to males in the town is 2:3, what percentage of the total population in Town X speaks Spanish?

A. 36% B. 40% C. 48% D. 64% E. 73%

Assume that the total population of Town X is 100.

The ratio of females to males in the town is 2:3. Since we picked 100 for the population, the number of females is 40 and the number of males is 60.

Out of 40 females, \(\frac{3}{5}\) speak Spanish. That is, \(\frac{3}{5}*40 = 24\) females speak Spanish.

Out of 60 males, \(\frac{2}{3}\) speak Spanish. That is, \(\frac{2}{3}*60 = 40\) males speak Spanish.

So, a total of \(24 + 40 = 64\) people out of 100 speak Spanish. Thus, the answer is 64%.

Another way to solve this is to recognize that 66.6% of males and 60% of Females speak Spanish. The % of total population speaking Spanish has to be between these 2 values. We can eliminate all options which do not fall in the range 60% to 66.6%. @Bunuel...pls let me know whether this approach is correct.

The 2/3 of the males and 3/5 of the females speak Spanish.Then total population in Town X speaks Spanish will be between 66.6% to 60%
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