document.write( "Question 312867: The cash box for the school play contains 233$ in 2$ coins and 5$ bills. How many coins and how manyt bills are there if the total number of coins and bills are 61? \n" ); document.write( "

Algebra.Com's Answer #223728 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"c\"$ = number of coins
\n" ); document.write( "Let $\"b\"$ = number of bills
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"c+%2B+b+=+61\"$
\n" ); document.write( "(2) $\"2c+%2B+5b+=+233\"$
\n" ); document.write( "Multiply both sides of (1) by $\"2\"$ and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) $\"2c+%2B+5b+=+233\"$
\n" ); document.write( "(1) $\"-2c+-+2b+=+122\"$
\n" ); document.write( " $\"3b+=+111\"$
\n" ); document.write( " $\"b+=+37\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"c+%2B+b+=+61\"$
\n" ); document.write( " $\"c+%2B+37+=+61\"$
\n" ); document.write( " $\"c+=+24\"$
\n" ); document.write( "There are 24 coins and 37 bills \n" ); document.write( "

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