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If \(2x = 5y\) and \(7y = 10z\), what is the value of \(\frac{z}{x}\)  expressed as a common fraction?

 Dec 29, 2017

Best Answer 

 #3
avatar+98107 
+1

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

 

 

cool cool cool

 Dec 29, 2017
 #1
avatar
+1

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

 Dec 29, 2017
 #2
avatar+853 
+2

thanks, guest! smiley

 Dec 29, 2017
 #3
avatar+98107 
+1
Best Answer

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

 

 

cool cool cool

CPhill Dec 29, 2017

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