Question

3. Divide 1072 between Amita, Reena and Sheena in the ratio of
5 3 4
[Hint: Convert the ratio to simplest form first]​

Answer 1

A ratio is a term that is used to compare two or more numbers.

Step-by-step explanation:

A ratio uses division to compare two quantities. There are two ways to represent a ratio

1.  as a/b (where b is not equal to zero)

Example: $\frac{13}{17}$

2. a:b

Example: $13:17$

To divide 1072 between Amita, Reena and Sheena in 5:3:4 ratio

1. We add a variable x to the ratio. $5x: 3x: 4x$

2. Now we add the ratio. $5x+3x+4x = 12x$

Using the unitary method:

$12x = 1072\\x = \frac{1072}{12\\}\\x = 89.33$

Now dividing 1072 in 5:3:4 ratio

$5x = 5*89.33 = 446.65\\3x = 3*89.33 = 267.99\\4x = 4*89.33 = 357.32$

Hence,

Amita's share = 446.65

Reena's share = 267.99

Sheena's share = 357.32