SOLUTION: The sum of $127 was didvided among 3 people so that the second received $5 less than twice as much as the first, and the third received $2 more than the second. How much did each p

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: The sum of $127 was didvided among 3 people so that the second received $5 less than twice as much as the first, and the third received $2 more than the second. How much did each p      Log On


   



Question 68056: The sum of $127 was didvided among 3 people so that the second received $5 less than twice as much as the first, and the third received $2 more than the second. How much did each person receive?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of $127 was didvided among 3 people so that the second received $5 less than twice as much as the first, and the third received $2 more than the second. How much did each person receive?
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Let the amount the 1st received be x dollars.
Then 2nd person received 2x-5 dollars.
And 3rd person received 2x-5+2 = 2x-3 dollars.
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EQuATION:
Total dollars was 127
x+2x-5+2x-3 = 127
5x-8=127
5x=135
x=27 dollars for 1st person
2x-5=2*27-5=49 dollars for 2nd person
2x-3=2*27-3= 51 dollars
Cheers,
Stan H.