document.write( "Question 1168562: A, B, C, D, and E. are consecutive points on a line. If AB/BC=1/3, BC/CD=1/4, and
\n" ); document.write( "CD/DE=1/2, what is AC/BE ?\r
\n" ); document.write( "\n" ); document.write( "How would I set up this problem in order to solve it?
\n" ); document.write( "

Algebra.Com's Answer #793143 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
A, B, C, D, and E. are consecutive points on a line. If AB/BC=1/3, BC/CD=1/4,
\n" ); document.write( "and CD/DE=1/2, what is AC/BE ?
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Begin by letting AB = 1 unit.  Then you'll see how I got these numbers:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "let AB = 1 unit, then\r\n" );
document.write( "\r\n" );
document.write( "\"%28AB%29%2F%28BC%29=1%2F3\"\r\n" );
document.write( "\"1%2F%28BC%29=1%2F3\"\r\n" );
document.write( "Cross-multiply,\r\n" );
document.write( "\"3=BC\"\r\n" );
document.write( "So BC = 3 units\r\n" );
document.write( "\r\n" );
document.write( "\"%28BC%29%2F%28CD%29=1%2F4\"\r\n" );
document.write( "\"3%2F%28CD%29=1%2F4\"\r\n" );
document.write( "Cross-multiply,\r\n" );
document.write( "\"12=CD\"\r\n" );
document.write( "So CD = 12 units\r\n" );
document.write( "\r\n" );
document.write( "\"%28CD%29%2F%28DE%29=1%2F2\"\r\n" );
document.write( "\"12%2F%28DE%29=1%2F2\"\r\n" );
document.write( "Cross-multiply,\r\n" );
document.write( "\"24=DE\"\r\n" );
document.write( "So DE = 24 units\r\n" );
document.write( "\r\n" );
document.write( "
what is AC/BE ?
\r\n" );
document.write( "\r\n" );
document.write( "AC = AB+BC = 1+3 = 4\r\n" );
document.write( "BE = BC+CD+DE = 3+12+24 = 39\r\n" );
document.write( "\r\n" );
document.write( "So\r\n" );
document.write( "\r\n" );
document.write( "\"%28AC%29%2F%28BE%29+=+4%2F39\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );