document.write( "Question 857922: Please help me with this word problem: Johnston and Betsy Warning have a jar containing 80 coins, all of which are either quarters or nickles. 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 #516923 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+q+\"$ = number of quarters
\n" ); document.write( "Let $\"+n+\"$ = number of nickels
\n" ); document.write( "---------------
\n" ); document.write( "(1) $\"+q+%2B+n+=+80+\"$
\n" ); document.write( "(2) $\"+25q+%2B+5n+=+1460+\"$ ( 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) $\"+25q+%2B+5n+=+1460+\"$
\n" ); document.write( "(1) $\"+-5q+-+5n+=+-400+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( " $\"+20q+=+1060+\"$
\n" ); document.write( " $\"+q+=+53+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+q+%2B+n+=+80+\"$
\n" ); document.write( "(1) $\"+n+=+80+-+53+\"$
\n" ); document.write( "(1) $\"+n+=+27+\"$
\n" ); document.write( "---------------
\n" ); document.write( "They have 53 quarters and 27 nickels
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+25q+%2B+5n+=+1460+\"$
\n" ); document.write( "(2) $\"+25%2A53+%2B+5%2A27+=+1460+\"$
\n" ); document.write( "(2) $\"+1325+%2B+135+=+1460+\"$
\n" ); document.write( "(2) $\"+1460+=+1460+\"$
\n" ); document.write( "OK \n" ); document.write( "

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