The following table shows the population (in hundreds) of five different cities (A, B, C, D and E) categorised by gender.
| City | Population | Men : Women |
|---|---|---|
| A | 2340 | 1 : 2 |
| B | 900 | 3 : 1 |
| C | 1510 | 3 : 2 |
| D | 2010 | 2 : 3 |
| E | 1750 | 4 : 3 |
What is the total number of women (in hundreds) in City A and City B?
Correct Answer :
1785
Solution :
The correct answer is 1785.
We need to find the number of women (in hundreds) in City A and City B separately, then add them together.
Step 1: Women in City A
From the table:
Total population of City A = 2340 (in hundreds)
Men : Women ratio = 1 : 2
The total number of parts in the ratio = 1 + 2 = 3 parts
Women's share = of the total population
Women in City A =
Step 2: Women in City B
From the table:
Total population of City B = 900 (in hundreds)
Men : Women ratio = 3 : 1
The total number of parts in the ratio = 3 + 1 = 4 parts
Women's share = of the total population
Women in City B =
Step 3: Total Women in City A and City B
Total women =
Therefore, the total number of women (in hundreds) in City A and City B combined is 1785.
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