document.write( "Question 16754: Algebra.com has been a God send. I have lost many, many hours of family time because of this Algebraic story problem. Any assistance would be greatly apprecited.\r
\n" ); document.write( "\n" ); document.write( "A cookie company makes three kinds of cookies, oatmeal raisin, chocolate chip, and shortbread, packaged in small, medium, and large boxes. The small box contains 1 dozen oatmeal raisin and 1 dozen chocolate chip; the medium box has 2 dozen oatmeal, 1 dozen chocolate chip, and 1 dozen shortbread; the large box contains 2 dozen oatmeal raisin, 2 dozen chocolate chip, and 3 dozen shortbread. I you require 15 dozen oatmeal raisin, 10 dozen chocolate chip, and 11 dozen shortbread cookies, how many of each size box should you buy?\r
\n" ); document.write( "\n" ); document.write( "Thank you very much.
\n" ); document.write( "

Algebra.Com's Answer #8175 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
Well in my first attempt, I tried to get the largest number of large boxes that would not give more cookies than required, which is 3 large boxes. However, this did not seem to be working out, so I dropped down to 2 large boxes, which would be 4 oatmeal, 4 choc chip, 6 shortbread. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This leaves a need for 11 oatmeal, 6 choc chip, 5 shortbread. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For this, you can order 5 medium boxes, providing 10 oatmeal, 5 choc chip, 5 shortbread. You still need 1 oatmeal, 1 choc chip, which is exactly 1 small box.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In summary, you should order 2 large, 5 medium, and 1 small box.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "R^2 at SCC
\n" ); document.write( "
\n" );