If x and y are in the ratio 3 to 4, and y and z are in the ratio 3 to 4 then what is the ratio of x to z?
1 Answer
Sep 11, 2017
# x:z = 9:16 #
Explanation:
We have:
# x:y = 3:4 => x/y = 3/4 #
# y:z = 3:4 => y/z = 3/4 #
We seek:
# x:z #
# x/z = x/z xx y/y #
# \ \ \ \ = x/y xx y/z #
# \ \ \ \ = 3/4 xx 3/4 #
# \ \ \ \ = 9/16 #
Hence:
# x:z = 9:16 #
