document.write( "Question 621577: johnston and betsy waring have a jar containing 80 coins all of which are either quarters or nickels.The total value of the coins is $14.60. How many of each type of coin do they have? \n" ); document.write( "

Algebra.Com's Answer #390819 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
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) $\"+n+%2B+53++=+80+\"$
\n" ); document.write( "(1) $\"+n+=+27+\"$
\n" ); document.write( "They have 27 nickels and 53 quarters
\n" ); document.write( "check:
\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( "

\n" );