document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032436>Question 1032436</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tasha bought salads at $2.75 each and cartons of milk at $.80 each. The total cost was $16.15. How many of each did Tasha buy? <BR>\n" );
document.write( "I will be using the variable s for the number of salads and m for the cartons of milk. My equation is 2.75s + .80m = 16.15.<BR>\n" );
document.write( "I would like some help on how to solve the problem using this equation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647102 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52798)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=647102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Tasha bought salads at $2.75 each and cartons of milk at $.80 each. The total cost was $16.15. How many of each did Tasha buy? <BR>\n" );
document.write( "I will be using the variable s for the number of salads and m for the cartons of milk. My equation is 2.75s + .80m = 16.15.<BR>\n" );
document.write( "I would like some help on how to solve the problem using this equation.<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Your equation is correct, and the problem has a unique solution.<BR>\n" );
document.write( "It may seems to be strange: one equation, two unknowns and the unique solution?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Nevertheless, it is true. \r<BR>\n" );
document.write( "\n" );
document.write( "The key to resolve this mystery is the fact that you are looking for solutions among integer s and m only. <BR>\n" );
document.write( "It is very strong restriction, which replaces the second equation in this case.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "So, solve it in this way.\r\n" );
document.write( "\r\n" );
document.write( "Take s = 1. Calculate 16.75 - s*2.75 = 13.40. Divide it by 0.8. Will you get the integer quotient?  - No, in this case.\r\n" );
document.write( "\r\n" );
document.write( "Take s = 2. Calculate 16.75 - s*2.75 = 10.65. Divide it by 0.8. Will you get the integer quotient?  - No, in this case.\r\n" );
document.write( "\r\n" );
document.write( "Take s = 3. Calculate 16.75 - s*2.75 = 7.90. Divide it by 0.8. Will you get the integer quotient?  - No, in this case.\r\n" );
document.write( "\r\n" );
document.write( ". . . . . \r\n" );
document.write( "\r\n" );
document.write( "Check s = 5. !!!!! You will get the integer quotient m = 3.\r\n" );
document.write( "\r\n" );
document.write( "So, s = 5 and m = 3 is your solution.\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( "You have managed to find the unique solution of the problem described by one equation with two unknowns.<BR>\n" );
document.write( "It became possible only because you were looking for integer solutions.\r<BR>\n" );
document.write( "\n" );
document.write( "Congratulations !\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );