document.write( "Question 380397: I have 30 coins, all nickels, dimes, and quarters, worth $4.60. There are two more dimes than quarters. How many of each kind of coin do I have. \n" ); document.write( "

Algebra.Com's Answer #270073 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
I have 30 coins, all nickels, dimes, and quarters, worth $4.60. There are two more dimes than quarters. How many of each kind of coin do I have.
\n" ); document.write( "..
\n" ); document.write( "let quarters be x
\n" ); document.write( "dimes = x+2
\n" ); document.write( "...
\n" ); document.write( "dimes + quarters = x+x+2=2x+2
\n" ); document.write( "...
\n" ); document.write( "nickels = 30-(2x+2)
\n" ); document.write( "...
\n" ); document.write( "5(30-(2x+2))+10(x+2)+25x=460
\n" ); document.write( "5(30-2x-2)+10x+20+25x=460
\n" ); document.write( "150-10x-10+10x+20+25x=460
\n" ); document.write( "160+25x=460
\n" ); document.write( "-160
\n" ); document.write( "25x=460-160
\n" ); document.write( "25x=300
\n" ); document.write( "/25
\n" ); document.write( "x=300/25
\n" ); document.write( "x=12 ---- quarters
\n" ); document.write( "x+2= 12+2=14 dimes
\n" ); document.write( "30-(2x+2)=4 nickels
\n" ); document.write( "...
\n" ); document.write( "check
\n" ); document.write( "4*5+14*10+12*25=20+140+300=460\r
\n" ); document.write( "\n" ); document.write( "...
\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( "

\n" );