Question

A school has an art club, a science club, and a music club. The ratio of the number of students in these clubs is given:

Art club to science club: 7 to 10
Music club to art club: 9 to 14
There are 140 students in the science club. No students are in more than one club. How many students are in the music club? Show all your work.
a) 63 students
b) 90 students
c) 126 students
d) 180 students

Answer 1

The music club has 63 students, which is calculated using the given ratios of the number of students in each club and the known number of students in the science club.

Step-by-step explanation:

The question asks to find out how many students are in the music club based on the given ratios and the number of students in the science club.

Given ratios are:

• Art club to science club: 7 to 10
• Music club to art club: 9 to 14

With 140 students in the science club, we can use the first ratio to find the number of students in the art club:

Art club : Science club = 7 : 10

Art club = (7/10) * Science club

Art club = (7/10) * 140

Art club = 98 students

Now, we use the art club number to find out the music club members:

Music club : Art club = 9 : 14

Music club = (9/14) * Art club

Music club = (9/14) * 98

Music club = 63 students

Therefore, the music club has 63 students.