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prealgebra senior

Problem

The ratio of

w

to

x

is

4 : 3

, the ratio of

y

to

z

is

3 : 2

, and the ratio of

z

to

x

is

1 : 6

. What is the ratio of

w

to

y ?

(A)

4 : 3

(B)

3 : 2

(C)

8 : 3

(D)

4 : 1

(E)

16 : 3

Solution

We have

\frac{w}{y} = \frac{w}{x} \cdot \frac{x}{z} \cdot \frac{z}{y} = \frac{4}{3} \cdot \frac{6}{1} \cdot \frac{2}{3} = \frac{16}{3},

from which

w : y = 16 : 3 .

Final answer

E