Raymond B. answered 07/16/25
Math, microeconomics or criminal justice
250 men 3/7 of rest were women
1/2 of Total were children
total = T
T = T/2 + 250 + (3/7)(T-T/2-250) expand, combine like terms
T/2=250+ (3/7)(T/2)- (3/7(250)
T/2 -3T/14 = (4/7)(250 multiply by 14
7T -3T = 2000
T = 2000/4 = 500 Total
children 250 men 250
women = 0 = (3/7)(0)
Unless you meant 3/7 of the rest meant 3/7 x (T-250) not 3/7 x (T-T/2-250)
then
T = 250 + T/2 + (3/7)(T-250)
T/2 = 250 -(3/7)T - (3/7)250
T/2 +3T/7 = (4/7)250 multiply by 14
7T +6T = 2,000
Total = 2,000
250 men 1,000 children
3/7 of 750 = 3(750)/7 = 2250/7 = 321 3/7 women
= about 321 women
but the fraction suggests a problem with the problem, mis-copied or misprinted