document.write( "Question 445512: juan has a jar containing eighty-four coins, all of which are either quarters or nickels. The total value of the coins is $15.60. How many of each type of coin does he have? Define your variables, equations and box your result sentence. \n" ); document.write( "

Algebra.Com's Answer #306874 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"n\"$ = number of nickels
\n" ); document.write( "Let $\"q\"$ = number of quarters
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+n+%2B+q+=+84+\"$
\n" ); document.write( "(2) $\"+5n+%2B+25q+=+1560+\"$ (in cents)
\n" ); document.write( "Multiply both sides of (1) by $\"5\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5n+%2B+25q+=+1560+\"$
\n" ); document.write( "(1) $\"+-5n+-+5q+=+-420+\"$
\n" ); document.write( " $\"+20q+=+1140+\"$
\n" ); document.write( " $\"+q+=+57+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+n+%2B+57+=+84+\"$
\n" ); document.write( "(1) $\"+n+=+27+\"$
\n" ); document.write( "He has 27 nickels and 57 quarters
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+5n+%2B+25q+=+1560+\"$
\n" ); document.write( "(2) $\"+5%2A27+%2B+25%2A57+=+1560+\"$
\n" ); document.write( " $\"+135+%2B+1425+=+1560+\"$
\n" ); document.write( " $\"+1560+=+1560+\"$
\n" ); document.write( "OK \n" ); document.write( "

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