document.write( "Question 1060399: Coco has a jar containing pennies and nickels. There is $9.20 worth of coins in the jar. If she could switch the number of pennies with the number of nickels, there would be $26.80 worth of coins in the jar. How many pennies and nickels are in the jar? \n" ); document.write( "
Algebra.Com's Answer #675368 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+p+\" = the number of pennies in the 1st jar
\n" ); document.write( "Let \"+n+\" = the number of nickels in the 1st jar
\n" ); document.write( "------------------------------------
\n" ); document.write( "(1) \"+1%2Ap+%2B+5%2An+=+920+\" ( in cents )
\n" ); document.write( "------------------------------------
\n" ); document.write( "And, if the numbers of pennies and nickels are switched,
\n" ); document.write( "(2) \"+1%2An+%2B+5%2Ap+=+2680+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "(1) \"+1%2Ap+%2B+5%2An+=+920+\"
\n" ); document.write( "(2) \"+5%2Ap+%2B+1%2An+-+2680+\"
\n" ); document.write( "Multiply both sides of (1) by \"+5+\"
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) \"+5p+%2B+25n+=+4600+\"
\n" ); document.write( "(2) \"+-5p+-+n+=+-2680+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "\"+24n+=+1920+\"
\n" ); document.write( "\"+n+=+80+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+p+%2B+5n+=+920+\"
\n" ); document.write( "(1) \"+p+%2B+5%2A80+=+920+\"
\n" ); document.write( "(1) \"+p+=+920+-+400+\"
\n" ); document.write( "(1) \"+p+=+520+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "There are 520 pennies and 80 nickels in the jar
\n" ); document.write( "--------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+n+%2B+5p+=+2680+\"
\n" ); document.write( "(2) \"+80+%2B+5%2A520+=+2680+\"
\n" ); document.write( "(2) \"+80+%2B+2600+=+2680+\"
\n" ); document.write( "(2) \"+2680+=+2680+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );