document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=50206>Question 50206</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is what I have but when I worked it out it was inconceivable so I know I did something wrong.  Please help.  Andrea\r<BR>\n" );
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document.write( "Phil is making a Starbuck’s ® run for his exhausted Math 105 classes. He is going to buy a combination of Lattes and Cappuccinos. The Lattes cost $4 each and the Cappuccinos cost $3 each. If he needs 30 drinks total and has $100 to spend, how many of each should he buy?\r<BR>\n" );
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document.write( "Lattes - $4 each - Quantity is x - Total is 4x<BR>\n" );
document.write( "Cappuccinos - $3 each - Quantity is 30-x - Total is 3(30-x) or 90-3x<BR>\n" );
document.write( "Mixture - $100 to spend - Quantity is 30 - Total is 3000\r<BR>\n" );
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document.write( "So then I said 4x+90-3x=3000<BR>\n" );
document.write( "x=2910\r<BR>\n" );
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document.write( "I think I have the right idea but obviously it doesn't work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #33348 by </B><A HREF=/tutors/aboutme.mpl?userid=mathchemprofessor><B>mathchemprofessor(65)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathchemprofessor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=33348\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is what I have but when I worked it out it was inconceivable so I know I did something wrong. Please help. Andrea <BR>\n" );
document.write( "Phil is making a Starbuck’s ® run for his exhausted Math 105 classes. He is going to buy a combination of Lattes and Cappuccinos. The Lattes cost $4 each and the Cappuccinos cost $3 each. If he needs 30 drinks total and has $100 to spend, how many of each should he buy? <BR>\n" );
document.write( "Lattes - $4 each - Quantity is x - Total is 4x<BR>\n" );
document.write( "Cappuccinos - $3 each - Quantity is 30-x - Total is 3(30-x) or 90-3x<BR>\n" );
document.write( "Mixture - $100 to spend - Quantity is 30 - Total is 3000 <BR>\n" );
document.write( "So then I said 4x+90-3x=3000<BR>\n" );
document.write( "x=2910 <BR>\n" );
document.write( "I think I have the right idea but obviously it doesn't work.\r<BR>\n" );
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document.write( "THE LAST FEW STEPS WILL BE AS FOLLOWS:<BR>\n" );
document.write( "Total amount spent=4x +(90-3x)=100<BR>\n" );
document.write( "4x-3x+90=100<BR>\n" );
document.write( "x+90=100<BR>\n" );
document.write( "Subtracting 90 on both sides, we get<BR>\n" );
document.write( "x=100-90=10<BR>\n" );
document.write( "So the number of Lattes bought=10 for 10($4)=$40<BR>\n" );
document.write( "Number of Cappuccinos bought=30-10=20 for 20($3)=$60<BR>\n" );
document.write( "OK?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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