SOLUTION: Three friends got the prize money worth ​$170,000. The first friend would get three times the amount of the third​ friend's portion. The third friend would get four times t

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Question 1190156:
Three friends got the prize money worth ​$170,000. The first friend would get three times the amount of the third​ friend's portion. The third friend would get four times the amount of the second​ friend's portion. Determine the amount that each friend would receive.

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


A quick reading shows the first friend gets more than the third and the third gets more than the second. So, to avoid fractions, let c represent the smallest of the three amounts -- the amount the second friend gets.

Let x = amount second friend gets
Then 4x = amount the third friend gets (four times the amount the second gets)
Then 3(4x)=12x = amount the first friend gets (three times the amount the third gets)

The total is $17,000:



Solve the equation using basic algebra; then answer the question


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