Question

Divide £48 in the following ratios.
a 2:1 b) 1:3

Answer 1

a) £32 and £16

b) £12 and £36

Explanation:

It is given that:

Amount to divide = £ 48

a) 2 : 1

Let,

x be the times of share.

2x + x = 48

3x = 48

Dividing both sides by 3

`(3x)/(3)=(48)/(3)\\x=16`

Thus,

2x = 2(16) = £32

x = £16

b) 1 : 3

x+3x=48

4x=48

Dividing both sides by 4

`(4x)/(4)=(48)/(4)\\x=12`

x = £12

3x = 3(12) = £36

Therefore,

a) £32 and £16

b) £12 and £36