We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
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
[tex]\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[/tex]
Therefore, Amount won by runner - up = x = £125
Amount won by winner = x + 250 = 125 + 250 = £375
Therefore, total amount = 375 + 125 = £500
Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
