Question

A) Share £5 in the ratio 2 : 3

b) Share £50 in the ratio 2:3
c) Share £500 in the ratio 2 : 3

Answer 1

a) To share £5 in the ratio 2:3, we need to divide it into 2 + 3 = 5 parts.

Each part will be worth £5/5 = £1.

To find the share of each ratio, we need to multiply their respective parts by this value:

- Share of the first ratio (2 parts): 2 x £1 = £2
- Share of the second ratio (3 parts): 3 x £1 = £3

Therefore, the shares are £2 and £3.

b) To share £50 in the ratio 2:3, we need to divide it into 2 + 3 = 5 parts.

Each part will be worth £50/5 = £10.

To find the share of each ratio, we need to multiply their respective parts by this value:

- Share of the first ratio (2 parts): 2 x £10 = £20
- Share of the second ratio (3 parts): 3 x £10 = £30

Therefore, the shares are £20 and £30.

c) To share £500 in the ratio 2:3, we need to divide it into 2 + 3 = 5 parts.

Each part will be worth £500/5 = £100.

To find the share of each ratio, we need to multiply their respective parts by this value:

- Share of the first ratio (2 parts): 2 x £100 = £200
- Share of the second ratio (3 parts): 3 x £100 = £300

Therefore, the shares are £200 and £300.

Answer 2

a) To share £5 in the ratio 2:3, we need to determine the amount allocated to each ratio part.

Total ratio parts = 2 + 3 = 5

Share for the first part (2/5 of £5):
(2/5) * £5 = £2

Share for the second part (3/5 of £5):
(3/5) * £5 = £3

Therefore, in the ratio 2:3, £2 would be allocated to the first part, and £3 would be allocated to the second part.

b) To share £50 in the ratio 2:3, we follow a similar process:

Total ratio parts = 2 + 3 = 5

Share for the first part (2/5 of £50):
(2/5) * £50 = £20

Share for the second part (3/5 of £50):
(3/5) * £50 = £30

Thus, in the ratio 2:3, £20 would be allocated to the first part, and £30 would be allocated to the second part.

c) Sharing £500 in the ratio 2:3:

Total ratio parts = 2 + 3 = 5

Share for the first part (2/5 of £500):
(2/5) * £500 = £200

Share for the second part (3/5 of £500):
(3/5) * £500 = £300

Hence, in the ratio 2:3, £200 would be allocated to the first part, and £300 would be allocated to the second part.