document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177453>Question 1177453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In order to raise money for team towels, your swim team decides to sell pizza and subs. The profits are $2.75 and $1.45 for for each sub. You sell 48 subs. Write and solve an inequality to determine the number of pizzas you must sell to have a total profit of at least $100. \r<BR>\n" );
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document.write( "Your calling card charges $1.25 to place a call plus $0.35 for each minute. Write and solve an inequality to determine how long a call can last so that the total cost stays below $5. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #850455 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=850455\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> **Pizza and Subs**\r<BR>\n" );
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document.write( "Let's break down the pizza and subs problem:\r<BR>\n" );
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document.write( "**1. Define a variable:**\r<BR>\n" );
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document.write( "* Let 'p' be the number of pizzas you need to sell.\r<BR>\n" );
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document.write( "**2. Write the inequality:**\r<BR>\n" );
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document.write( "* Profit from pizzas: $2.75p<BR>\n" );
document.write( "* Profit from subs: $1.45 * 48 = $69.60<BR>\n" );
document.write( "* Total profit: $2.75p + $69.60<BR>\n" );
document.write( "* We want the total profit to be at least $100, so the inequality is:\r<BR>\n" );
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document.write( "  $2.75p + $69.60 ≥ $100\r<BR>\n" );
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document.write( "**3. Solve the inequality:**\r<BR>\n" );
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document.write( "* Subtract $69.60 from both sides: $2.75p ≥ $30.40<BR>\n" );
document.write( "* Divide both sides by $2.75: p ≥ 11.05\r<BR>\n" );
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document.write( "Since you can't sell parts of pizzas, you need to sell at least 12 pizzas.\r<BR>\n" );
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document.write( "**Answer:** You must sell at least 12 pizzas to have a total profit of at least $100.\r<BR>\n" );
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document.write( "**Calling Card**\r<BR>\n" );
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document.write( "Now let's solve the calling card problem:\r<BR>\n" );
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document.write( "**1. Define a variable:**\r<BR>\n" );
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document.write( "* Let 'm' be the number of minutes the call can last.\r<BR>\n" );
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document.write( "**2. Write the inequality:**\r<BR>\n" );
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document.write( "* Cost of the call: $1.25 + $0.35m<BR>\n" );
document.write( "* We want the total cost to stay below $5, so the inequality is:\r<BR>\n" );
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document.write( "  $1.25 + $0.35m < $5\r<BR>\n" );
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document.write( "**3. Solve the inequality:**\r<BR>\n" );
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document.write( "* Subtract $1.25 from both sides: $0.35m < $3.75<BR>\n" );
document.write( "* Divide both sides by $0.35: m < 10.71\r<BR>\n" );
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document.write( "**Answer:** The call can last for a maximum of 10 minutes to keep the total cost below $5. </SPAN>\n" );
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