document.write( "Question 1188867: Mark had an equal number of blue and red marbles. He gave away 5/9 of his
\n" ); document.write( "blue marbles and sold 49 red marbles. In the end, he was left with 1/3 of the
\n" ); document.write( "marbles. How many marbles did he have at first? \n" ); document.write( "

Algebra.Com's Answer #820051 by VFBundy(438) $\"\"$ $\"About$

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Number of red marbles (at start) = n
\n" ); document.write( "Number of blue marbles (at start) = n
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\n" ); document.write( "Number of marbles remaining after giveaways and sales:
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\n" ); document.write( "4/9(n) + (n - 49) = 1/3(2n)
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\n" ); document.write( "4/9(n) + (n - 49) = 2/3(n)
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\n" ); document.write( "(n - 49) = 2/3(n) - 4/9(n)
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\n" ); document.write( "-49 = 2/3(n) - 4/9(n) - n
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\n" ); document.write( "-49 = 6/9(n) - 4/9(n) - 9/9(n)
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\n" ); document.write( "-49 = -7/9(n)
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\n" ); document.write( "-49(-9/7) = n
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\n" ); document.write( "n = 63
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\n" ); document.write( "Number of red marbles (at start) = n = 63
\n" ); document.write( "Number of blue marbles (at start) = n = 63
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\n" ); document.write( "Mark had a total of 126 marbles at the start.
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