document.write( "Question 1002802: A piggy bank contains nickels, dimes, and quarters. If there are a total of fourteen coins, the value of the nickels is equal to the value of the dimes, and the entire set is worth a total of $1.30, how many nickels are there? \n" ); document.write( "
Algebra.Com's Answer #619683 by josmiceli(19441)\"\" \"About 
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Let \"+n+\" = number of nickels
\n" ); document.write( "Let \"+d+\" = number of dimes
\n" ); document.write( "Let \"+q+\" = number of quarters
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) \"+n+%2B+d+%2B+q+=+14+\"
\n" ); document.write( "(2) \"+5n+=+10d+\"
\n" ); document.write( "(3) \"+5n+%2B+10d+%2B+25q+=+130+\" ( in cents )
\n" ); document.write( "------------------------------------
\n" ); document.write( "(2) \"+n+=+2d+\"
\n" ); document.write( "(1) \"+2d+%2B+d+%2B+q+=+14+\"
\n" ); document.write( "(1) \"+3d+%2B+q+=+14+\"
\n" ); document.write( "(1) \"+q+=+-3d+%2B+14+\"
\n" ); document.write( "----------------------
\n" ); document.write( "(3) \"+5n+%2B+10d+%2B+25q+=+130+\"
\n" ); document.write( "(3) \"+5%2A2d+%2B+10d+%2B+25%2A%28+-3d+%2B+14+%29+=+130+\"
\n" ); document.write( "(3) \"+10d+%2B+10d+-+75d+%2B+350+=+130+\"
\n" ); document.write( "(3) \"+-55d+=+-220+\"
\n" ); document.write( "(3) \"+d+=+4+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+n+=+2d+\"
\n" ); document.write( "(2) \"+n+=+2%2A4+\"
\n" ); document.write( "(2) \"+n+=+8+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+q+=+-3d+%2B+14+\"
\n" ); document.write( "(1) \"+q+=+-3%2A4+%2B+14+\"
\n" ); document.write( "(1) \"+q+=+14+-+12+\"
\n" ); document.write( "(1) \"+q+=+2+\"
\n" ); document.write( "There are 8 nickels
\n" ); document.write( "-------------------
\n" ); document.write( "check answer:
\n" ); document.write( "(3) \"+5n+%2B+10d+%2B+25q+=+130+\"
\n" ); document.write( "(3) \"+5%2A8+%2B+10%2A4+%2B+25%2A2+=+130+\"
\n" ); document.write( "(3) \"+40+%2B+40+%2B+50+=+130+\"
\n" ); document.write( "(3) \"+130+=+130+\"
\n" ); document.write( "
\n" );