document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192673>Question 1192673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tourist town has 1621 visitors this year. 70% of them have breakfast in a cafe and then 72% have lunches, 66% - dinner(all percentages are of the total visitors). There are 3 cafes in town and a local man wants to establish a new one. How many seats should the new cafe have so that it would be fully seated no less than 24% of dinner servings? What percentage of times would this new cafe be fully seated during breakfast and lunch servings? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #848955 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=848955\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> **1. Calculate the number of visitors for each meal:**\r<BR>\n" );
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document.write( "* **Breakfast:** 1621 visitors * 70% = 1134.7 visitors ≈ 1135 visitors<BR>\n" );
document.write( "* **Lunch:** 1621 visitors * 72% = 1163.52 visitors ≈ 1164 visitors<BR>\n" );
document.write( "* **Dinner:** 1621 visitors * 66% = 1069.86 visitors ≈ 1070 visitors\r<BR>\n" );
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document.write( "**2. Determine the required seating for dinner:**\r<BR>\n" );
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document.write( "* Target dinner occupancy: 24% of dinner visitors<BR>\n" );
document.write( "* Required dinner servings: 1070 visitors * 24% = 256.8 servings ≈ 257 servings\r<BR>\n" );
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document.write( "**3. Calculate the number of seats for the new cafe:**\r<BR>\n" );
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document.write( "* The new cafe needs at least 257 seats to accommodate 24% of dinner servings.\r<BR>\n" );
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document.write( "**4. Calculate the percentage of times the new cafe would be fully seated during breakfast and lunch:**\r<BR>\n" );
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document.write( "* **Assumption:** We assume that visitors are evenly distributed among the 4 cafes (including the new one).\r<BR>\n" );
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document.write( "* **Breakfast:**<BR>\n" );
document.write( "    * Total breakfast capacity: 257 seats/cafe * 4 cafes = 1028 seats<BR>\n" );
document.write( "    * Percentage full: 1135 visitors / 1028 seats = 1.10 ≈ 110% (This means the cafes would be overbooked during breakfast)\r<BR>\n" );
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document.write( "* **Lunch:**<BR>\n" );
document.write( "    * Total lunch capacity: 1028 seats<BR>\n" );
document.write( "    * Percentage full: 1164 visitors / 1028 seats = 1.13 ≈ 113% (Also overbooked during lunch)\r<BR>\n" );
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document.write( "**Therefore:**\r<BR>\n" );
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document.write( "* The new cafe should have at least **257 seats**.<BR>\n" );
document.write( "* The cafes would likely be **overbooked** during both breakfast and lunch, assuming even distribution of visitors.\r<BR>\n" );
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document.write( "**Note:** This analysis assumes that all visitors who have breakfast, lunch, or dinner will choose to eat at a cafe. In reality, some visitors might eat elsewhere (e.g., restaurants, hotels). <BR>\n" );
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