document.write( "Question 1187588: lionel delivers milk, bread, and eggs to marcies camp store. on monday the bill for 8 half-gallons of milk, 4 loaves of bread, and 6 dozen eggs was $14.20. on tuesday the bill for 5 half-gallons of milk, 10 loaves of bread, and 3 dozen eggs was $14.50. on wednesday the bill for 2 half-gallons of milk, 5 loaves of bread, and 7 dozen eggs was $9.50. how much is thursdays bill for 1 half-gallon of milk, 2 loaves of bread, and 1 dozen eggs? \n" ); document.write( "

Algebra.Com's Answer #818610 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "lionel delivers milk, bread, and eggs to marcies camp store.
\n" ); document.write( "on monday the bill for 8 half-gallons of milk, 4 loaves of bread, and 6 dozen eggs was $14.20.
\n" ); document.write( "on tuesday the bill for 5 half-gallons of milk, 10 loaves of bread, and 3 dozen eggs was $14.50.
\n" ); document.write( "on wednesday the bill for 2 half-gallons of milk, 5 loaves of bread, and 7 dozen eggs was $9.50.
\n" ); document.write( "how much is thursdays bill for 1 half-gallon of milk, 2 loaves of bread, and 1 dozen eggs?
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document.write( "Let x = price of half-gallon of milk;\r\n" );
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document.write( "    y = price of one loave of bread, \r\n" );
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document.write( "and z = price of one dozen of eggs.\r\n" );
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document.write( "Based on the problem's info we have this system of 3 equations in 3 unknowns\r\n" );
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document.write( "    8x +  4y + 6z = 14.20  dollars    (1)   (the bill on Monday)\r\n" );
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document.write( "    5x + 10y + 3z = 14.50  dollars    (2)   (the bill on Tuesday)\r\n" );
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document.write( "    2x + 5y + 7z =  9.50  dollars     (3)   (the bill on Wednesday)\r\n" );
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document.write( "Solve the system.\r\n" );
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document.write( "You may use any method you want, or you may use your calculator, or one of numerous online solvers in the Internet.\r\n" );
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document.write( "The solution is  x = 1 dollar (milk);  y = 0.8 dollar (bread);  z = 0.5 dollars (dozen of eggs).\r\n" );
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document.write( "Having it, calculate the  ANSWER  to the problem's question  1 + 2*0.8 + 0.5 = 3.10 dollars.\r\n" );
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