document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195743>Question 1195743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jacob has $45 to buy muffins and doughnuts at the school bake sale. Muffins are $0.75 each and doughnuts are $0.25 cents each. \r<BR>\n" );
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document.write( "a. What is the maximum number of muffins Jacob can buy?\r<BR>\n" );
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document.write( "b. What is the maximum number of doughnuts Jacob can buy?\r<BR>\n" );
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document.write( "c. Write an equation that models Jacob's options (assuming he spends all $45)\r<BR>\n" );
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document.write( "d. Graph the possible combinations of doughnuts and muffins Jacob can buy for $45. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828268 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=828268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Part A\r<BR>\n" );
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document.write( "Jacob has $45.<BR>\n" );
document.write( "Muffins costs $0.75 each.<BR>\n" );
document.write( "Divide the values to get 45/(0.75) = 60\r<BR>\n" );
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document.write( "Answer: <font color=red>60 muffins maximum</font>\r<BR>\n" );
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document.write( "Note: this of course means Jacob cannot buy any doughnuts.\r<BR>\n" );
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document.write( "Part B\r<BR>\n" );
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document.write( "Follow the same idea as the previous part.<BR>\n" );
document.write( "This time we divide 45 over 0.25<BR>\n" );
document.write( "45/(0.25) = 180\r<BR>\n" );
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document.write( "Answer: <font color=red>180 doughnuts maximum</font>\r<BR>\n" );
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document.write( "Jacob cannot buy any muffins in this scenario.\r<BR>\n" );
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document.write( "Part C\r<BR>\n" );
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document.write( "x = number of muffins<BR>\n" );
document.write( "y = number of doughnuts<BR>\n" );
document.write( "These are nonnegative whole numbers.\r<BR>\n" );
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document.write( "Muffins are $0.75 each. <BR>\n" );
document.write( "Buying x of them costs a subtotal of 0.75x dollars.\r<BR>\n" );
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document.write( "Doughnuts are $0.25 each.<BR>\n" );
document.write( "Buying y of them costs a subtotal of 0.25y dollars.\r<BR>\n" );
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document.write( "The grand total is 0.75x+0.25y dollars<BR>\n" );
document.write( "Assuming Jacob spends all of the $45, then we set the grand total algebraic expression equal to the 45.\r<BR>\n" );
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document.write( "Answer:  <font color=red>0.75x+0.25y = 45</font>\r<BR>\n" );
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document.write( "Side note: The equation in red is equivalent to y = -3x+180<BR>\n" );
document.write( "I'll stick with the previous version because it shows the 0.75 and 0.25 to help show how each piece contributes to the total. \r<BR>\n" );
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document.write( "Part D\r<BR>\n" );
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document.write( "x = number of muffins<BR>\n" );
document.write( "y = number of doughnuts\r<BR>\n" );
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document.write( "From part A, we found that Jacob can buy 60 muffins and 0 doughnuts. This leads to one ordered pair point of (x,y) = (60,0)\r<BR>\n" );
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document.write( "In part B, we found that he can buy 0 muffins and 180 doughnuts. This produces the point (0, 180)\r<BR>\n" );
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document.write( "Plot the two points (60,0) and (0,180) and draw a straight line through them. I'll let you check that they work with the equation 0.75x+0.25y = 45 found in part C.\r<BR>\n" );
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document.write( "To find other points, follow these steps:<BR>\n" );
document.write( "1) Pick any whole number between 1 and 59.<BR>\n" );
document.write( "2) Replace x with that value.<BR>\n" );
document.write( "3) Solve for y.\r<BR>\n" );
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document.write( "At minimum, you only need 2 points to form any straight line.\r<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"https://i.imgur.com/QFbI0ZU.png\"><BR>\n" );
document.write( "I used GeoGebra to make the graph.<BR>\n" );
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