Question

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

Art club to drama club: 7 to 13
Cooking club to art club: 5 to 14
There are 130 students in the drama club. No students are in more than one club.

How many students are in the cooking club?

Answer 1

25 students in the cooking club

Explanation:

Let

x-----> the number of students in art club

y-----> the number of students in drama club

z-----> the number of students in cooking club

step 1

Substitute the value of y in equation A and solve for x

step 2

substitute the value of x in equation B and solve for z