document.write( "Question 1032530: Pls help me solve this. this is the last equation for my homework.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Robert has 35 coins consisting dimes and quarters. If the total value is $5.90, how many of each kind of coin are there? \n" ); document.write( "

Algebra.Com's Answer #647203 by ikleyn(52790) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Pls help me solve this. this is the last equation for my homework.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Robert has 35 coins consisting dimes and quarters. If the total value is $5.90, how many of each kind of coin are there?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Or this another solution.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let d be the number of dimes.\r\n" );
document.write( "Then the number of quarters is 35-d.\r\n" );
document.write( "\r\n" );
document.write( "The dimes contribute 10*d cents to the total. \r\n" );
document.write( "The quarters contribute 25*(35-d) cents to the total.\r\n" );
document.write( "\r\n" );
document.write( "As a result, the total is 10*d + 25*(35-d).\r\n" );
document.write( "Since the total is 590 cents, it gives you an equation\r\n" );
document.write( "\r\n" );
document.write( "10*d + 25*(35-d) = 590.\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve it for d:\r\n" );
document.write( "\r\n" );
document.write( "10d + 875 - 25d = 590,\r\n" );
document.write( "\r\n" );
document.write( "10d - 25d = 590 -875,\r\n" );
document.write( "\r\n" );
document.write( "-15d = -285,\r\n" );
document.write( "\r\n" );
document.write( "d =  = 19.\r\n" );
document.write( "\r\n" );
document.write( "So, there are 19 dimes.\r\n" );
document.write( "Then the number of quarters is 35-19 = 16.\r\n" );
document.write( "\r\n" );
document.write( "Answer. 19 dimes and 16 quarters.\r\n" );
document.write( "

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

\n" );