MATH PLEASE HELP

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

cooking/art=5/14

art/drama=7/13

art/drama=14/26 (multiply both terms by 2)

cooking/art=5/14 and art/drama=14/26

cooking to art to drama is 5 to 14 to 26

there are 130 students in drama

130/26=5

multiply 5 and 14 and 26 each by 5 to get the number of students in each club

5*5=25 students in cooking (D. is the answer)

5*14=70 students in art

5*26=130 students in drama which we already know