Question

if a compound ratio is 7:5 & 8:x is 84:60 find x

Answer 1

Answer:

The value of x is 8.

Step-by-step explanation:

Step 1:

The compound ratio

7 : 5 :: 8 : X = 84 : 60 as per given data.

We need to find x value

Step 2:

7× 8 ÷ 5 × X = 84 ÷ 60

Step 3:

Simplify to find the x value

56 / 5X = 84 / 60 = 7 / 5

X = (56 × 5) ÷ (7 × 5) = 56 / 7 = 8

Answer 2

Answer:

=> x = 8

Step-by-step explanation:

As per the data given in the question, we have to find the value of x,

Given that:-

The compound ratio of $7:5$ and $8:x=84:60$

=> $7\times x:5\times 8=84:60$

Multiplying the numbers, we get

=> $7x:40=84:60$

$=>\frac{7x}{40}=\frac{84}{60}$

The product of extremes equals the product of the means.

$=>\frac{40\times 84}{60}=7x$

$=> 7x=56$

Dividing both sides by 7 we get,

$=>x=8$

Hence, the value of x is 8.