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.