Literacy ratio

The town's population is 311250. The ratio of women to men is 43: 40. If 24% of men and 8% of women are literate, then find the total number of literate persons in the town.

Correct answer:

x =  48900

Step-by-step explanation:

$$\begin{gathered} n=311250 \\ w=\frac{43}{43+40}\cdot n=\frac{43}{43+40}\cdot 311250=161250 \\ m=n-w=311250-161250=150000 \\ {r}_1=24\%=\frac{24}{100}=\frac{6}{25}=0.24 \\ {r}_2=8\%=\frac{8}{100}=\frac{2}{25}=0.08 \\ M=r_1\cdot m=0.24\cdot 150000=36000 \\ W=r_2\cdot w=0.08\cdot 161250=12900 \\ x=M+W=36000+12900=48900 \end{gathered}$$

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