document.write( "Question 63313: The question: A collection of marbles has been divided into three different sets. The middle-sized set is two times the size of the smallest set, and the largest set is three times as large as the middle-sized set. What percent describes each part of the total marble collection?
\n" ); document.write( "Can this problem be answered with the information given? \n" ); document.write( "
Algebra.Com's Answer #44066 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
Yes. This problem can be answered with the information given and here's how:
\n" ); document.write( "We'll let x=smallest set
\n" ); document.write( "then 2x=middle-sized set
\n" ); document.write( "and 3(2x)=largest set
\n" ); document.write( "Now if we let t=total marble collection, then we have:
\n" ); document.write( "x+2x+3(2x)=t or
\n" ); document.write( "x+2x+6x=t and
\n" ); document.write( "9x=t
\n" ); document.write( "x=(1/9)t or put another way the smallest set is 11.11% of the total (t) and
\n" ); document.write( "2x=(2/9)t or the middle-sized set is 22.22% of the total (t) and finally
\n" ); document.write( "6x=(6/9)t or the largest set is 66.67% if the total (t)\r
\n" ); document.write( "\n" ); document.write( "Hope this helps and have a happy holiday season!!!!!---ptaylor\r
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