fractions
posted by Anonymous .
at a concert 2/5 of the people were men, there were 3 times as many women as children, ithere were 45 mor men than children, how many people were there at the concert

at a concert 2/5 of the people were men, there were 3 times as many women as children, if there were 45 more men than children, how many people were there at the concert

people: p
men: 2/5 p
children: c
women: 3c
men: 2/5 p = c+45
people = m+w+c = 2/5 p + 3c + c
so, p = 2/5 p + 4c
3/5 p = 4c
2/5 p = c+45
c=27
p=180
180 people at the show.
so, women=81
men=72 
3/4 of the students in school were girls and the rest were boys.2/3 of the girls and1/2 of the boys attended the school carnival. Find the total number of students in the school if 330 students did not attend the carnival

There are one hundred and eighty overall people. Seventytwo people are men. Eightyone people are women. And twentyseven people are children.