SOLUTION: Three friends got the prize money worth ​$55,000. The first friend would get four times the amount of the third​ friends portion. The third friend would get twice the a

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Question 1108730: Three friends got the prize money worth ​$55,000. The first friend would get four times the amount of the third​ friends portion. The third friend would get twice the amount of the second​ friends portion. Determine the amount that each friend would receive.
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


The third friend gets more than the first, who gets more than the second. To avoid fractions, since the second friend gets the least, let his portion be the variable for the problem.

let x = second friend's portion
then 2x = third friend's portion (he gets twice as much as the 2nd)
then 4*2x = 8x = first friend's portion (he gets four times as much as the 3rd)

The portions are x, 2x, and 8x. Write and solve the equation that says the sum of those three portions is $55,000....