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The ratio of x to y is 3 to 2, and the ratio of y to z is 4 to 3.  If xy, and are positive numbers, what is the ratio of x to (y + z)?

 Jul 9, 2015

Best Answer 

 #1
avatar+102320 
+5

x /y = 3/2   →  y = (2/3)x

 

y/z = (2/3)x / z = 4/3  →  z = (3/4)(2/3)x  = (1/2)x     .....Therefore......

 

x / ( y + z)   =    x / [ (2/3)x + (1/2)x]   =  x (1)/ [x (2/3 + 1/2)]  = 1/ (2/3 + 1/2)  =  1/ [ 7/6]  = 6/7 

 

 

  

 Jul 9, 2015
 #1
avatar+102320 
+5
Best Answer

x /y = 3/2   →  y = (2/3)x

 

y/z = (2/3)x / z = 4/3  →  z = (3/4)(2/3)x  = (1/2)x     .....Therefore......

 

x / ( y + z)   =    x / [ (2/3)x + (1/2)x]   =  x (1)/ [x (2/3 + 1/2)]  = 1/ (2/3 + 1/2)  =  1/ [ 7/6]  = 6/7 

 

 

  

CPhill Jul 9, 2015

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