Problem: The ratio of www to xxx is 4:34: 34:3, of yyy to zzz is 3:23: 23:2 and of zzz to xxx is 1:61: 61:6. What is the ratio of www to y?y?y?
Answer Choices:
A. 1:31: 31:3
B. 16:316: 316:3
C. 20:320: 320:3
D. 27:427: 427:4
E. 12:112: 112:1
Solution:
wy=wx⋅xz⋅zy=43⋅61⋅23=163.\dfrac{w}{y}=\dfrac{w}{x} \cdot \dfrac{x}{z} \cdot \dfrac{z}{y}=\dfrac{4}{3} \cdot \dfrac{6}{1} \cdot \dfrac{2}{3}=\dfrac{16}{3} . yw​=xw​⋅zx​⋅yz​=34​⋅16​⋅32​=316​.