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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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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):
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