document.write( "Question 1171315: Hi Jane bought 1/3 as many almond cookies as chocolate cookies.She gave each of her friends 3 almond & 4 chocolate cookies.She then had 3 almond & 24 chocolate cookies left.
\n" ); document.write( "How many friends received cookies from her.
\n" ); document.write( "How many chocolate cookies did she buy.
\n" ); document.write( "Thanks \n" ); document.write( "

Algebra.Com's Answer #796258 by ikleyn(52782) $\"\"$ $\"About$

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

\r\n" );
document.write( "\r\n" );
document.write( " x = almond cookies\r\n" );
document.write( "\r\n" );
document.write( "3x = chocolate cookies.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the condition, we have THESE two equations\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    x = 3n + 3     (1)    (n = the number of friends)\r\n" );
document.write( "\r\n" );
document.write( "   3x = 4n + 24    (2)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Multiply equation (1) by 3 (both sides). You will get\r\n" );
document.write( "\r\n" );
document.write( "    3x = 9n + 9.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Substitute it into equation (2).  You will get\r\n" );
document.write( "\r\n" );
document.write( "    9n + 9 = 4n + 24.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It implies\r\n" );
document.write( "\r\n" );
document.write( "    9n - 4n = 24 - 9\r\n" );
document.write( "\r\n" );
document.write( "      5n    = 15\r\n" );
document.write( "\r\n" );
document.write( "       n    = 15/5 = 3.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, there are 3 friends.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "By knowing it, CAN YOU answer the last question on your own ?\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hello, does your appreciation stretch so far that you will post your \"THANKS\" to me for my teaching ?\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );