document.write( "Question 884513: Ned has 55 marbles in his collection. He has twice as many white marbles as red marbles. He has 5 more blue marbles than white marbles. How many white marbles does Ned have? \n" ); document.write( "

Algebra.Com's Answer #534365 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+w+\"$ = number of white marbles
\n" ); document.write( "Let $\"+r+\"$ = number of red marbles
\n" ); document.write( "Let $\"+b+\"$ = number of blue marbles
\n" ); document.write( "--------------------------------
\n" ); document.write( "(1) $\"+w+%2B+r+%2B+b+=+55+\"$
\n" ); document.write( "(2) $\"+w+=+2r+\"$
\n" ); document.write( "(3) $\"+b+=+w+%2B+5+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "(2) $\"+r+=+w%2F2+\"$
\n" ); document.write( "Substitute (2) and (3) into (1)
\n" ); document.write( "(1) $\"+w+%2B+w%2F2+%2B+w+%2B+5+=+55+\"$
\n" ); document.write( "(1) $\"+%285%2F2%29%2Aw+=+50+\"$
\n" ); document.write( "(1) $\"+5w+=+100+\"$
\n" ); document.write( "(1) $\"+w+=+20+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+b+=+w+%2B+5+\"$
\n" ); document.write( "(3) $\"+b+=+20+%2B+5+\"$
\n" ); document.write( "(3) $\"+b+=+25+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+r+=+w%2F2+\"$
\n" ); document.write( "(2) $\"+r+=+20%2F2+\"$
\n" ); document.write( "(2) $\"+r+=+10+\"$
\n" ); document.write( "Ned has 20 white marbles
\n" ); document.write( "check:
\n" ); document.write( "(3) $\"+b+=+w+%2B+5+\"$
\n" ); document.write( "(3) $\"+25+=+20++%2B+5+\"$
\n" ); document.write( "(3) $\"+25+=+25+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );