Question

If x:y = 3:4 and y:z = 5:6 then what is x:z

Answer 1

Answer:

x:z=5:8

Step-by-step explanation:

let x=3u   so    y=4u    as x:y=3:4

as y:z=5:6

there fore      4u/z=5/6

                        z=6*4u/5

                        z=24u/5

            so  x:z=3u:24u/5      

                  x/z=3u*5/24u

                  therefore x:z=5:8

Answer 2

The ratio x:z is 5:8

Given,

Two ratios are given as the following:

x:y = 3:4

y:z = 5:6

To Find,

The ratio x:z

Solution:

This can be solved using the following simple method

We have been given two ratios x:y = 3:4 and y:z = 5:6

The first ratio x:y = 3:4 can be written as $\frac{x}{y} = \frac{3}{4}$

The second ratio y:z = 5:6 can be written as $\frac{y}{z} = \frac{5}{6}$

Multiple the above two fractions to get the following equation:

$\frac{x}{y} \times \frac{y}{z} = \frac{3}{4} \times \frac{5}{6}$

$\frac{x}{z}= \frac{15}{24}$

Simplifying this fraction, we get

$\frac{x}{z}= \frac{5}{8}$

Therefore, we have obtained the required ratio x:z = 5:8

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