document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200550>Question 200550</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131482874/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hello,<BR>\n" );
document.write( "I really need help with the following word problem: The engineering club ran a coffee and donut sale to raise money for the club's activities. The first week, they made a profit of $200. The second week, they sold 3 times as many donuts, but 1/2 the number of coffees, and made a profit of $225. If the profit for each donut was $.50 and the profit for each coffee was $.75, how many donuts and coffees did they sell the first week?\r<BR>\n" );
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document.write( "I would greatly appreciate any help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150815 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=150815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first week, they made a profit of $200. The second week, they sold 3 times<BR>\n" );
document.write( " as many donuts, but 1/2 the number of coffees, and made a profit  of $225.<BR>\n" );
document.write( " If the profit for each donut was $.50 and the profit for each coffee was $.75,<BR>\n" );
document.write( " how many donuts and coffees did they sell the first week?<BR>\n" );
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document.write( "let d = no. of donuts sold the 1st week<BR>\n" );
document.write( "let c = no. of coffees sold the 1st week<BR>\n" );
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document.write( "First week equation:<BR>\n" );
document.write( ".50d + .75c = 200<BR>\n" );
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document.write( "2nd week equation:<BR>\n" );
document.write( ".50(3d) + .75(.5c) = 225<BR>\n" );
document.write( "1.50d + .375c  = 225<BR>\n" );
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document.write( "Multiply the above equation by 2, subtract the first equation<BR>\n" );
document.write( "3d + .75c = 450<BR>\n" );
document.write( ".5d +.75c = 200<BR>\n" );
document.write( "-----------------Subtraction eliminate c, find d<BR>\n" );
document.write( "2.5d = 250<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250%2F2.5 ALIGN=MIDDLE  ALT=\"250%2F2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 100 donuts, the 1st week<BR>\n" );
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document.write( "Find c using the 1st equation<BR>\n" );
document.write( ".50(100) + .75c = 200<BR>\n" );
document.write( "50 + .75c = 200<BR>\n" );
document.write( ".75c = 200 - 50<BR>\n" );
document.write( ".75c = 150<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2F.75 ALIGN=MIDDLE  ALT=\"150%2F.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = 200 coffees the 1st week<BR>\n" );
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document.write( "Check solutions in the 2nd week equation<BR>\n" );
document.write( "1.50d + .375c  = 225<BR>\n" );
document.write( "1.50(100) + .375(200)  = <BR>\n" );
document.write( "150 + 75 = 225 </SPAN>\n" );
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