Question

D The prize money for a competition is
shared between the winner and the runner-up
in the ratio 3: 1.
The winner received £250 more than the
runner-up.
What was the total prize money?

Answer 1

Answer: 333.3

Step-by-step explanation:

Answer 2

Answer:

Total amount = £500

Step-by-step explanation:

Let the amount for the runner up be = x

Let the amount for winner be =  x + 250

Let the total amount be x + x + 250 = 2x + 250

Ratio of  the amount is 3 : 1

Sum of the ratio = 3 + 1  = 4

Amount for the winner is

                                     $\frac{3}{4} \ of \ (2x + 250) = (x + 250)\\\\\frac{3}{4}\times(2x + 250) = x + 250\\\\\frac{6x}{4} + \frac{750}{4} = x + 250\\\\\frac{6x}{4} - x = 250 - \frac{750}{4}\\\\\frac{6x - 4x}{4} = \frac{1000 - 750}{4}\\\\\frac{2x}{4} = \frac{250}{4} \\\\2x = 250\\\\x = 125$

Therefore, Amount won by runner - up = x = £125

                       Amount won by winner = x + 250 = 125  + 250 = £375

Therefore, total amount = 375 + 125 = £500