Question
The number of girls in the dance club was 2/5 the number of boys in it. The number of girls in the computer club was 6/7 the total number of students in it. The total number of students in the dance club was 1/2 the total number of students in the computer club. Find the ratio of the number of boys in the computer club to the number of boys in the dance club
Answers
Anonymous
Let, no. of boys in dance club be x and no. of boys in computer club be y
No. of girls in dance club = 2/5x
Total number of students in dance club = x + 2x/5 = 7x/5
6/7 of computer club students are girls
No. of boys in computer club = 1/7x (total students in computer club)
y = 1/7x (total students in computer club)
Total number of students in computer club = 7y
Total no. of students in dance club is half of that of computer club
7x/5 = 1/2 (7y)
=> y/2 = (7 * 2)/(5 * 7) = 2/5 = 2:5
No. of girls in dance club = 2/5x
Total number of students in dance club = x + 2x/5 = 7x/5
6/7 of computer club students are girls
No. of boys in computer club = 1/7x (total students in computer club)
y = 1/7x (total students in computer club)
Total number of students in computer club = 7y
Total no. of students in dance club is half of that of computer club
7x/5 = 1/2 (7y)
=> y/2 = (7 * 2)/(5 * 7) = 2/5 = 2:5