document.write( "Question 1206419: The ratio of the price of a cassette to the price of a VCD was 1:5. Each VCD cost $25. On a certain day, the amount of money collected from the sale of both VCDs and cassettes was $6720. If the number of cassettes sold made up 1/5 of the total number of VCDs and cassettes sold, how many VCDs were sold on that day? \n" ); document.write( "
Algebra.Com's Answer #843878 by ikleyn(52847)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "The ratio of the price of a cassette to the price of a VCD was 1:5. Each VCD cost $25.
\n" ); document.write( "On a certain day, the amount of money collected from the sale of both VCDs and cassettes was $6720.
\n" ); document.write( "If the number of cassettes sold made up 1/5 of the total number of VCDs and cassettes sold,
\n" ); document.write( "how many VCDs were sold on that day?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Each VCD costs $25.  Hence, each cassette costs  \"%281%2F5%29%2A25\" = 5 dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Let x be the number of cassette sold.  Then the number of VCD is 4x.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The total revenue equation is \r\n" );
document.write( "\r\n" );
document.write( "    5*x + 25*(4x) = 6720  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and find x\r\n" );
document.write( "\r\n" );
document.write( "    5x + 100x = 6720\r\n" );
document.write( "\r\n" );
document.write( "      105x    = 6720\r\n" );
document.write( "\r\n" );
document.write( "         x    = 6720/105 = 64.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  64 cassettes and 4*64 = 256 VCDs were sold that day.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved using one equation in one unknown.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It also can be solved mentally using the grouping method,
\n" ); document.write( "without any equations.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );