Question

of the compound ratio of 5:8 and 3:7
is 45:x. Find the value of x.

Answer 1

Step-by-step explanation:

Given :-

The compound ratio of 5:8 and 3:7

is 45:x.

To find:-

Find the value of x ?

Solution :-

Given ratios are 5:8 and 3:7

We know that

The Compound ratio of the ratios a:b and c:d is ac:bd .i.e the ratio of the product of the antecedents and the product of the consequents

The Compound ratio of 5:8 and 3:7

=> 5×3:8×7

=> 15:56

According to the given problem

The Compound ratio = 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

Therefore, x = 168

Answer:-

The value of x for the given problem is 168

Used formulae:-

→ The Compound ratio of the ratios a:b and c:d is ac:bd .i.e the ratio of the product of the antecedents and the product of the consequents

→ a:b can be written as a/b

Points to know :-

→ The ratio of a and b is a:b

→ In a:b , a is called antecedent and b is called consequent.

→ The equality of ratios is calle Proportion.

→ a:b and c:d are in proportion then a:b::c:d then bc= ad . i.e.the product of the extremes is equal to the product of the means.

Answer 2

Value of x =168

Step-by-step explanation:

Answer in picture