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


PLSSS HELP ME ON THIS! EXPLAIN THE METHOD TO DO IT!

Respuesta :

Answer:

£500

Step-by-step explanation:

ratio of money = 3 : 1 = 3x : x ( x is a multiplier )

winner receives £250 more than the runner up, that is

3x = x + 250 ( subtract x from both sides )

2x = 250 ( divide both sides by 2 )

x = 125

total prize money = 3x + x = 4x = 4 × 125 = £500

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