document.write( "Question 335935: A caterer is planning a party for 64 people. The customer has $150 to spend. A $39 pan of pasta feeds 14 people and a $12 sandwich tray feeds 6 people. How many pans of pasta and how many sandwich trays should the caterer make? \n" ); document.write( "
Algebra.Com's Answer #240931 by stanbon(75887)\"\" \"About 
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A caterer is planning a party for 64 people. The customer has $150 to spend. A $39 pan of pasta feeds 14 people and a $12 sandwich tray feeds 6 people. How many pans of pasta and how many sandwich trays should the caterer make?
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\n" ); document.write( "People Equation: 14p + 6t = 64 people
\n" ); document.write( "Value Equation: 39p + 12t = 150 dollars
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\n" ); document.write( "Multiply thru the 1st equation by 12.
\n" ); document.write( "Multiply thru the 2nd equation by 6.
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\n" ); document.write( "12*14p + 12*6t = 12*64
\n" ); document.write( "6*39p + 6*12t = 6*150
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\n" ); document.write( "Subtract 1st from 2nd and solve for \"p\":
\n" ); document.write( "66p = 132
\n" ); document.write( "p = 2 (# of pans of pasta needed)
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\n" ); document.write( "Substitute into 14p+6t = 64 and solve for \"t\":
\n" ); document.write( "28 + 6t = 64
\n" ); document.write( "6t = 36
\n" ); document.write( "t = 6 (# of sandwich trays needed)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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