document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #67095 by checkley71(8403) $\"\"$ $\"About$

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x=first prize value
\n" ); document.write( "5x/6=second prize value
\n" ); document.write( "(5x/6)(4/5)=third prize value
\n" ); document.write( "x+5x/6+20x/30
\n" ); document.write( "x+5x/6+2x/3
\n" ); document.write( "x(1+5/6+2/3)
\n" ); document.write( "x(6/6+5/6+4/6)
\n" ); document.write( "x(15/6)
\n" ); document.write( "x(2.5) or 2.5x
\n" ); document.write( " \n" ); document.write( "

\n" );