Problema Solution

Good morning gentlemen algebra

My problem posed is this hope can help me thank you very much in advance

2. With the information provided, bring an equation, define the variable and find the solution.

In a tennis tournament has $ 90,000 for the award of the first 4 places. If the second place it deserves as half the prize money than it is for the first, the third accounts for half of what is due to second and fourth accounts for half of what is due to third,

a. How much belongs to each?

b. What percentage of the total money belongs to fourth?

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2. With the information provided, bring an equation, define the variable and find the solution.

In a tennis tournament has $ 90,000 for the award of the first 4 places. If the second place it deserves as half the prize money than it is for the first, the third accounts for half of what is due to second and fourth accounts for half of what is due to third,

a. How much belongs to each?

b. What percentage of the total money belongs to fourth?

 

if 1st prize is x then

x+0.5x+0.25x+0.125x = 90000

x= 48,000$

Fourth prize winner gets 12.5% of prize money