Question

In a writing competition, the first place winner receives ½ of the prize money. the second runner up receives ¼ of what the winner won. what was the total amount of prize money distributed if the winner receives $6,000?

Answer 1

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:

`(1)/(2)x = 6000`

`x = 2(6000)`

`x = 12000`

Then, for the second place we have:

`(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