Question

if the compound ratio of 5:8 and 3:7 is 45:x.find the values of x

Answer 1

5/8×3/7=45/x
therefore x=216/7
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Answer 2

Answer:

x = 168

Explanation:

Given ratios are as follows-

5 : 8 and 3 : 7

Compound ratio of the above two given ratios = 45 : x

But, we know that compound ratio is the ratio of the product of the antecedents of both the ratios to the product of the consequents of both the ratios.

Hence,

Compound ratio for the above given ratios = ( 5 * 3 ) : ( 8 * 7 ) = 15 : 56

Therefore,

45 : x = 15 : 56

15x = 45 * 56

x = ( 45 * 56 ) / 15

x = 3 * 56

x = 168