document.write( "Question 998423: Jennifer has 15 coins worth a total of $1.45. All of the coins are nickels, dimes, or quarters. The number or quarters is 1/4 the number of nickels and dimes combined. Solve a linear system to find how many of each kind of coin she has. Please help me... Thanks \n" ); document.write( "
Algebra.Com's Answer #616219 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+n+\" = number of nickels
\n" ); document.write( "\"+d+\" = number of dimes
\n" ); document.write( "\"+q+\" = number of quarters
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) \"+n+%2B+d+%2B+q+=+15+\"
\n" ); document.write( "(2) \"+5n+%2B+10d+%2B+25q+=+145+\"
\n" ); document.write( "(3) \"+q+=+%281%2F4%29%2A%28+n+%2B+d+%29+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "(3) \"+n+%2B+d+=+4q+\"
\n" ); document.write( "Substitute this into (1)
\n" ); document.write( "(1) \"+4q+%2B+q+=+15+\"
\n" ); document.write( "(1) \"+5q+=+15+\"
\n" ); document.write( "\"+q+=+3+\"
\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+10d+%2B+25q+=+145+\"
\n" ); document.write( "(1) \"+-5n+-+5d+-+5q+=+-75+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "\"+5d+%2B+20q+=+70+\"
\n" ); document.write( "\"+5d+%2B+20%2A3+=+70+\"
\n" ); document.write( "\"+5d+=+10+\"
\n" ); document.write( "\"+d+=+2+\"
\n" ); document.write( "-------------
\n" ); document.write( "(1) \"+n+%2B+d+%2B+q+=+15+\"
\n" ); document.write( "(1) \"+n+%2B+2+%2B+3+=+15+\"
\n" ); document.write( "(1) \"+n+=+10+\"
\n" ); document.write( "--------------------
\n" ); document.write( "There are 10 nickels, 2 dimes, and 3 quarters
\n" ); document.write( "------------------------------------
\n" ); document.write( "check answers:
\n" ); document.write( "(2) \"+5n+%2B+10d+%2B+25q+=+145+\"
\n" ); document.write( "(2) \"+5%2A10+%2B+10%2A2+%2B+25%2A3+=+145+\"
\n" ); document.write( "(2) \"+50+%2B+20+%2B+75+=+145+\"
\n" ); document.write( "(2) \"+145+=+145+\"
\n" ); document.write( "-----------------
\n" ); document.write( "(3) \"+q+=+%281%2F4%29%2A%28+n+%2B+d+%29+\"
\n" ); document.write( "(3) \"3+=+%281%2F4%29%2A%28+10+%2B2+%29+\"
\n" ); document.write( "(3) \"+3+=+%281%2F4%29%2A12+\"
\n" ); document.write( "(3) \"+3+=+3+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );