Question

If 76 is divided into the ratios of 7,5,3 and 4 then the smallest part will be

Answer 1

$smallest \: \: part = 76 \times \frac{3}{7 + 5 + 3 + 4} \\ = 12$

Answer 2

✨Answer✨:

The smallest part is 12.

✨Step-by-step explanation✨:

✨Given✨:

Ratio = 7:5:3:4

Sum of Ratio = 76

✨To Find✨:

The smallest part of 76 in the ratio 7:5:3:4.

✨Solution✨:

Let the common multiple be 'x',

So, the numbers become 7x, 5x, 3x and 4x.

Equation formed:-

7x + 5x + 3x + 4x = 76

⇒ 19x = 76

⇒ x =  $\frac{76}{19}$

⇒ x = 4

So, the numbers are:  

7x = 7 × 4 = 28

5x = 5 × 4 = 20

3x = 3 × 4 = 12

4x = 4 × 4 = 16

∵ 12 > 28, 20 and 16,

The smallest part is 12.

✔️Verification✔️:

We will now verify our answer to check that is our answer exactly correct?

For that, now we know the value of 7x, 5x, 3x and 4x i.e. 28, 20, 12 and 16 respectively.

Their sum (given in the question) is 76.

So, now we will add both the numbers and if their sum came as 76 (which is given in question), then our answer will be exactly correct!

28 + 20 + 12 + 16 = 76

76 = 76

LHS = RHS

As I told, the sum of both numbers came as 76, so our answer is accurately correct!