In a party, 2/3 of the girls and 1/2 of the boys drank fruit juice. If 18 boys drank fruit juice and 3/4 of the children that drank fruit juice were girls, how many children were at the party?
Let the number of girls ==G
Let the number of boys ==B
1/2B == 18
3/4*[2/3G + 1/2B] ==G, solve for B, G
Use substitution to get:
B ==36, G==27
36 + 27 ==63 - number of children at the party.
