document.write( "Question 430057: Jose has 22 coins totaling $4.10. If all of the 22 coins are either nickles or quarters, how many of each coin does he have? You must define the variable first and then solve for variable. \n" ); document.write( "
Algebra.Com's Answer #298633 by jorel1380(3719)\"\" \"About 
You can put this solution on YOUR website!
If Jose has 22 coins, then
\n" ); document.write( "X+Y=22\r
\n" ); document.write( "\n" ); document.write( "If all the coins are either nickles or quarters, then
\n" ); document.write( ".25X+.05Y=4.10\r
\n" ); document.write( "\n" ); document.write( "Multiply the second equation by 100, we get
\n" ); document.write( "25X+5Y=410\r
\n" ); document.write( "\n" ); document.write( "Take the first equation and multiply by 5 we get
\n" ); document.write( "5X+5Y=110\r
\n" ); document.write( "\n" ); document.write( "Subtract the first equation from the second, we get
\n" ); document.write( "20X=300
\n" ); document.write( "X=15\r
\n" ); document.write( "\n" ); document.write( "So we have 15 quarters (X) and 22-15, or 7 nickels (Y).
\n" ); document.write( "
\n" );