SOLUTION: 1. Three prizes are to be distributed in a Creative Design Talent Search Contest. The value of the second prize is five-sixths the value of the first prize, and the value of the t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 1. Three prizes are to be distributed in a Creative Design Talent Search Contest. The value of the second prize is five-sixths the value of the first prize, and the value of the t      Log On


   

Question 92233: 1. Three prizes are to be distributed in a Creative Design Talent Search Contest. The value of the second prize is five-sixths the value of the first prize, and the value of the third prize is four-fifths that of the second prize. Express the total value of the three prizes as an algebraic expression.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
x=first prize value
5x/6=second prize value
(5x/6)(4/5)=third prize value
x+5x/6+20x/30
x+5x/6+2x/3
x(1+5/6+2/3)
x(6/6+5/6+4/6)
x(15/6)
x(2.5) or 2.5x