document.write( "Question 723727: A purse contains $3.75 in 5-cent and 20-cent coins. If there are 33 coins altogether, how many of each type of coin do I have? \n" ); document.write( "

Algebra.Com's Answer #443301 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+n+\"$ = number of 5 cent coins
\n" ); document.write( "Let $\"+m+\"$ = number of 20 cent coins
\n" ); document.write( "--------------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+n+%2B+m+=+33+\"$
\n" ); document.write( "(2) $\"+5n+%2B+20m+=+375+\"$ ( in cents )
\n" ); document.write( "----------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+5+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5n+%2B+20m+=+375+\"$
\n" ); document.write( "(1) $\"+-5n+-+5m+=+-165+\"$
\n" ); document.write( " $\"+15m+=+210+\"$
\n" ); document.write( " $\"+m+=+14+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+n+%2B+m+=+33+\"$
\n" ); document.write( "(1) $\"+n+%2B+14+=+33+\"$
\n" ); document.write( "(1) $\"+n+=+19+\"$
\n" ); document.write( "19 = number of 5 cent coins
\n" ); document.write( "14 = number of 20 cent coins
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+5n+%2B+20m+=+375+\"$
\n" ); document.write( "(2) $\"+5%2A19+%2B+20%2A14+=+375+\"$
\n" ); document.write( "(2) $\"+95+%2B+280+=+375+\"$
\n" ); document.write( "(2) $\"+375+=+375+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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