document.write( "Question 508033: johnston and betsy have a jar containing 80 coins of which are either quarters or nickels. the total value of the coins is $14.60 how many of each coin do they have? i need the equations please! \n" ); document.write( "

Algebra.Com's Answer #340840 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) $\"+n+%2B+q+=+80+\"$
\n" ); document.write( "(2) $\"+5n+%2B+25q+=+1460+\"$ ( 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) $\"+5n+%2B+25q+=+1460+\"$
\n" ); document.write( "(1) $\"+-5n+-+5q+=+-400+\"$
\n" ); document.write( " $\"+20q+=+1060+\"$
\n" ); document.write( " $\"+q+=+53+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+n+%2B+q+=+80+\"$
\n" ); document.write( "(1) $\"+n+=+80+-+53+\"$
\n" ); document.write( "(1) $\"+n+=+27+\"$
\n" ); document.write( "They have 27 nickels and 53 quarters
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+5%2A27+%2B+25%2A53+=+1460+\"$
\n" ); document.write( "(2) $\"+135+%2B+1325+=+1460+\"$
\n" ); document.write( "(2) $\"+1460+=+1460+\"$
\n" ); document.write( "OK \n" ); document.write( "

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