Question

(a)

The prize money from a game show is shared amongst the team in the ratio
A: B: C = 2: 5: 3. If the prize money was £1500, how much more money does person B receive than person A?

(b) Person C donates 40% of his share to charity. State the ratio of the amount
donated to charity, to the total prize money in its simplest form

Answer 1

Explanation:

(a)

2:5:3 means that there are 2+5+3 = 10 units of the price money distributed between the team.

£1500 / 10 = £150 per unit.

person A gets therefore 2×150 = £300

person B gets 5×150 = £750

person C gets 3×150 = £450

so, person B gets 750-300 = £450 more money than person A.

(b)

40% of £450 = 450×0.4 = £180

so donated to total prize money is

180/1500 = 3/25