Question

I'm willing to give out medals!!
Xavier, Yessie, and Zorro each choose a different favorite positive fraction. Each fraction is in simplest form. Yessie's fraction is the reciprocal of Xavier's. Zorro multiplies his favorite fraction by Xavier's and finds a product of 12/35. Zorro then multiplies his favorite fraction by Yessie's fraction and find a product of 15/7.

What is each person's favorite fraction?

Answer 1

yessie=5/2
zavier=2/5
zorro=6/7

Answer 2

ohh

Answer 3

so how did you do it?

Answer 4

it's easy....
see...suppose xavier fraction be p/q then yessie fraction will be q/p.
now let zorro fraction be r/z...so as question says
r/z *p/q =12/35--------->1
r/z * q/p =15/7---------->2
solve above two equations and get the answer :)

Answer 5

oh I get it

Answer 6

Great!!