A town has 40% men and 35% women in its population. Of all the children in the…
2017
A town has 40% men and 35% women in its population. Of all the children in the town, 40% are girls. If the total number of girls is 1200, what is the total population?
Answer: C. 12000 — Solution: Find the percentage of children: 100% − (40% men + 35% women) = 25% children. Girls are 40% of the children, so girls = 40% of 25% = 0.40 × 25% =…
- A.
15500
- B.
14000
- C.
12000
- D.
11500
Attempted by 244 students.
Show answer & explanation
Correct answer: C
Solution:
Find the percentage of children: 100% − (40% men + 35% women) = 25% children.
Girls are 40% of the children, so girls = 40% of 25% = 0.40 × 25% = 10% of the total population.
Let the total population be P. Then 10% of P = 1200, so 0.10 × P = 1200.
Solve for P: P = 1200 ÷ 0.10 = 12000.
Answer: The total population is 12000.
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