SOLUTION: 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

Question 92250: 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 fourth-fifths that of the second prize. Express the total value of the three prizes as an algebraic expression.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The value of the second prize is five-sixths the value of the first prize, and the value of the third prize is fourth-fifths that of the second prize.
Express the total value of the three prizes as an algebraic expression.
-----------------------------------------------
Let the value of the 1st prize be "x"
Value of the 2nd prize is (5/6)x
Value of the 3rd prize is (4/5)(5/6)x = (2/3)x
---------------------------------------
Add to get:
x + (5/6)x + (2/3)x
= (13/6)x
= 2 1/6 x
===============
Cheers,
Stan H.

RELATED QUESTIONS
1. Three prizes are to be distributed in a Creative Design Talent Search Contest. The... (answered by checkley71)

There are nine finalists in a certain competition.In how many ways can the judges choose... (answered by stanbon)

there are three prizes. the value of the second prize is five-sixths the value of the... (answered by stanbon)

A talent contest has 8 contestants. Judges must award prizes for first, second and third... (answered by alicealc)

I have three prizes. the value of the second prize is five-sixths the value of the first... (answered by checkley71)

Five prizes are to be given to five different people in a group of seventeen. In how many (answered by Edwin McCravy)

Five prizes are to be given to five different people in a group of thirteen. In how many... (answered by Boreal)

Eight prizes are to be given to eight different people in a group of ten. In how many... (answered by mathmate)

Eight prizes are to be given to eight different people in a group of fourteen. In how... (answered by ikleyn)