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

D.25

Explanation:

In to find the number of students in the Cooking club, we first need to find the value of how many students there are in the Art club.

Let's break down the values that we do have.

There are 7 art club members for every 13 Drama club members.

This can be represented as:

7:13 or 7/13

There are 5 Cooking club members for every 14 Art club members.

5:14 or 5/14

We know that we have a total of 130 Drama club members.

So we plug that into our ratio.

Since there are 7:13 Art club members to Drama club members, this means that we can find the number of Art members by multiplying the same amount multiplied to the drama club member to get 130 drama club members.

13 x 10 = 130 Drama Club members.

So we multiply the number of Art members also by 10.

7 x 10 = 70 Art members

So there are 70 Art club members for every 130 Drama club members.

Now we know that there are 70 Art club members, we can use the same pattern to find how many Cooking club members.

So we divide the total number of Art club members by 14.

70 / 14 = 5

Now we multiply the amount with the Cooking club members to find our answer.

5 x 5 = 25

So in conclusion there are 25 Cooking club members for every 70 Art members and 130 Drama club members.