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Alex17521 [72]
3 years ago
14

In a writing competition, the first place winner receives ½ of the prize money. the second runner up receives ¼ of what the winn

er won. what was the total amount of prize money distributed if the winner receives $6,000?
Mathematics
1 answer:
DiKsa [7]3 years ago
3 0

The first thing we must do for this case is to define a variable.

We have then:

x: total amount of money

We now write the equation that models the problem.

For the winner we have:

\frac{1}{2}x = 6000

x = 2(6000)

x = 12000

Then, for the second place we have:

 \frac{1}{4}(6000) = 1500

Answer:

if the winner receives $6,000 the total amount of prize money distributed is: $12,000:

First place: $6,000

Second place: $1,500

Note: There is still money

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