The City's Population

Known: Women (W) = 0.6 Population (P) Girls (G) = 0.3 * W 5-7 Yrs Old Girls (YG) = 0.4 * G

Men (M) = 0.4 * P Boys (B) = 0.25 * M 5-7 Yrs Old Boys (YB) = 0.2 * B == 2000.

Solution: Now YB = 0.2 * 0.25 * 0.4 * P == 2000 ==> Hence P = 100000. Now YG = 0.4 * 0.3 * 0.6 * P = 7200.

WOMEN are 60% of the total population * 30% of women are GIRLS That is, 0.3 times 0.6 equals 0.18 meaning, GIRLS are 18% of the total population

• 40% of girls are 5-7 yrs old That is, 0.4 times 0.18 equals 0.072 meaning, 5-7 YRS OLD are 7.2% of the total population

MEN are 40% of the total population * 25% of men are BOYS that is, 0.25 times 0.40 equals 0.10 meaning, BOYS are 10% of the total population

• 20% of boys are 5-7 yrs old that is, 0.20 times 0.10 equals 0.02 meaning, 5-7 YRS OLD are 2% of the total population

There are a total of 2000 5-7 years old boys in the city. Therefore, mathematically, (0.02)(total population) =2000 total population = 100,000

PROBLEM: How many 5-7 years old girls are in the city? mathematically, 5-7 yrs old girls = (0.072)(total population) = (0.072)(100,000) = 7,200

hence, there are 7,200 5-7 years old girls are in the city?

Boys between 5 to 7 is 2% which 2000. Thus total population is 100000 Girks from 5 to 7 are 7.2% thus they are 7200.