I got showed how to do something but it doesn't make sense hear is what they said

Question

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

Answer 1

25:70:130 totals

divide by 5 to get lowest integer ratios

=5:14:26

= ratio of cooking:art:drama students

and divide by 2

14:26 = 7:13 is lowest ratio for art:drama