document.write( "Question 1023526: A student has 22 coins consisting of nickles and dimes. The value of the coins is $1.50. How many dimes does she have? \n" ); document.write( "

Algebra.Com's Answer #639045 by ikleyn(53937) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A student has 22 coins consisting of nickles and dimes. The value of the coins is $1.50. How many dimes does she have?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let n = number of nickels.\r\n" );
document.write( "Then the number of dimes is 22-n.\r\n" );
document.write( "\r\n" );
document.write( "The \"value\" equation is\r\n" );
document.write( "\r\n" );
document.write( "5n + 10*(22-n) = 150.\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve for n:\r\n" );
document.write( "\r\n" );
document.write( "5n + 220 - 10n = 150,\r\n" );
document.write( "-5n = 150 - 220,\r\n" );
document.write( "-5n = -70,\r\n" );
document.write( "n =  = 14.\r\n" );
document.write( "\r\n" );
document.write( "The number of nickels is 14. The number of dimes is 22-14 = 8.\r\n" );
document.write( "\r\n" );
document.write( "Check. 5*14 + 10*8 = 70 + 80 = 150.\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );