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 cooking club? A. 5 B. 10 C. 15 D. 25

Answer 1

Option D.
`25\ students\ in\ 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

we know that

`(x)/(y) =(7)/(13)`

`x=(7)/(13)y` -----> equation A

`(z)/(x)=(5)/(14)`

`z=(5)/(14)x` -----> equation B

`y=130\ students\ in\ drama\ club`

step 1

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

`x=(7)/(13)(130)=70\ students\ in\ art\ club`

step 2

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

`z=(5)/(14)(70)=25\ students\ in\ cooking\ club`