If \(2x = 5y\) and \(7y = 10z\), what is the value of \(\frac{z}{x}\) expressed as a common fraction?
2x = 5y ⇒ y = (2/5)x (1)
7y = 10z (2)
Sub (1) into (2)
7 [(2/5)x] = 10z
[14/5] x = 10z
z / x = 14 / 50 = 7 / 25
Well, young person! Here is another FAST answer!
x=12.5, y=5, z=3.5, So:
z/x = 3.5 / 12.5 =1 / (3 4/7) =7/25
thanks, guest!