document.write( "Question 1125005: Lauren save $84 more than Fiona. 1/5 of Lauren's savings was the same as 3/8 of Fiona's savings. How much did Lauren and Fiona save altogether? \n" ); document.write( "

Algebra.Com's Answer #741329 by ikleyn(52797) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "From the condition, you have this system of 2 equations\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "L - F = 84         (1)\r\n" );
document.write( "\r\n" );
document.write( " = .     (2)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To solve it, first multiply eq(2) by 5 (both sides). You will get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "L = .         (3)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now substitute expression (3) into eq(2). You will get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " - F = 84,\r\n" );
document.write( "\r\n" );
document.write( " = 84  ====>  F =  = 96.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, Fiona saved 96 dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then Lauren solved  84 + 96 = 180 dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Together, they saved  180 + 96 = 276 dollars.\r\n" );
document.write( "

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

\n" );