SOLUTION: how can i divide $80 between 3 people so that the second person will have twice as much as the first and the third person will have $5 less then the second person. ex. of how to

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Question 245730: how can i divide $80 between 3 people so that the second person will have twice as much as the first and the third person will have $5 less then the second person.
ex. of how to set up ....
1st person- x+2
2nd person- x
3rd person- 5-x
thanks.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
let a= first person
b=second person
c=third person
a+b+c=80
b=2a
a=b/2
c=b-5
three variables and three equations
substitute
b/2+b+b-5=80
combine
2.5b=85
multiply both sides by 2
5b=170
divide both sides by 5
b=34
a=17=b/2
c=29=b-5
34+17+29=80