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
let's see whether 15 works.
c/a = 5/14, so if c=15,
15/a = 5/14
a = 42
Now, a/d = 7/13
d = 78
But we are told that d=130.
Nope. So, how did you arrive at 15?
a/d = 7/13.
a/130 = 7/13,
a = 70.
c/a = 5/14.
c/70 = 5/14.
c = 25 students in cooking club.
To find the number of students in the cooking club, we need to determine the ratios between the cooking club and the other clubs. Let's break down the information provided.
The ratio of the number of students in the art club to the drama club is 7 to 13. This means that for every 7 students in the art club, there are 13 students in the drama club.
The ratio of the number of students in the cooking club to the art club is 5 to 14. This means that for every 5 students in the cooking club, there are 14 students in the art club.
We are given that there are 130 students in the drama club.
To find the number of students in the cooking club, we can set up an equation using the ratios:
(7/13) x (5/14) x 130 = Number of students in the cooking club
Simplifying the equation:
(35/182) x 130 = Number of students in the cooking club
(35/182) x 130 = 25
Therefore, the number of students in the cooking club is 25.
The correct answer is D. 25.