Question

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 finds a product of 15/7.

What is each person's favorite fraction?

9 years ago

Steve

y = 1/x
zx = 12/35
zy = 15/7

zx = 12/35
z/x = 15/7

12/(35x) = 15x/7
84 = 525x^2
x^2 = 84/525 = 4/25
x = 2/5
y = 5/2
z = 6/7

9 years ago

Anonymous

that was great

5 years ago