Question

If the compound ratio of 5:8 and3:7 is 45x find the value of x

Answer 1

=168 ans

Step-by-step explanation:

5/8 and 3/7

compound ratio of alone= 5×3/8×7

=15/56=45/4

2e=56×3

=168.

Answer 2

Step-by-step explanation:

Given:-

The compound ratio of 5:8 and3:7 is 45:x

To find:-

Find the value of x.

Solution:-

Given two ratios are 5:8 and 3:7

we know that the compound ratio of the ratios a:b and c:d is ac:bd

(Product of antecedents: product of consequents)

=>(5×3):(8×7)

=>15:56

The Compound ratio =15:56

according to the given problem,

the compound ratio of 5:8 and3:7 is 45:x

=>45:x=15:56

=>45/x=15/56

On applying cross multiplication then

=>15×x=45×56

=>x=45×56/15

=>x=3×56

=>x=168

Answer:-

The value of x=168

Used concept:-

The compound ratio is equal to the ratio of Product of antecedents to product of consequents.

The compound ratio of the ratios a:b and c:d is ac:bd