SOLUTION: The ratio of w to x is 4:3, of y to z is 3:2 and of z to x is 1:6. What is the ratio of w to y?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The ratio of w to x is 4:3, of y to z is 3:2 and of z to x is 1:6. What is the ratio of w to y?      Log On


   

Question 575622: The ratio of w to x is 4:3, of y to z is 3:2 and of z to x is 1:6. What is the ratio of w to y?
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
this is how i would do it wether its the fastest or easiest way im not sure
z:x = 1:6 this says for every z there are 6 x's
z=6x
.
w:x=4:3
4w=3x for every 4 w's there are 3 x's
.
y:z=3:2
3y=2z for every 3 y's there are 2 z's
.
so now we need to find out what w and y equal
w=(3/4)x
y=(2/3)z
since z=6x we can substitute it in so y=#x
y=(2/3)(6x)
y=4x
so w:y=%283%2F4%29x%2F4x x cancels leaving
%283%2F4%29%2F4
%283%2F4%29%281%2F4%29
3%2F16
so w to y is 3:16