document.write( "Question 1189269: Dalia,Ruth and Amy go to the store to buy snacks. Delia buys 3 oranges and 3 apples. Ruth buys 1 banana, 2 oranges and 3 apples. Amy buys 2 bananas and 4 oranges . Delia's bill comes to ₱13.72, Ruth's to ₱15.06, and Amy to ₱16.58.How much does one orange cost? \n" ); document.write( "

Algebra.Com's Answer #820626 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "Dalia,Ruth and Amy go to the store to buy snacks.
\n" ); document.write( "Delia buys 3 oranges and 3 apples.
\n" ); document.write( "Ruth buys 1 banana, 2 oranges and 3 apples.
\n" ); document.write( "Amy buys 2 bananas and 4 oranges .
\n" ); document.write( "Delia's bill comes to ₱13.72, Ruth's to ₱15.06, and Amy to ₱16.58.
\n" ); document.write( "How much does one orange cost?
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\n" ); document.write( "\n" ); document.write( " The general instruction / guide is THIS: \r
\n" ); document.write( "\n" ); document.write( " make a system of 3 equations and then solve it.\r
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document.write( "Let x be the price for each single orange; y - for each single apple and z for each single banana.\r\n" );
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document.write( "Having said this, write the system of 3 equations as you read the problem\r\n" );
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document.write( "    3x + 3y     = 13.72\r\n" );
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document.write( "    2x + 3y + z = 15.06\r\n" );
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document.write( "    4x +     2z = 16.58\r\n" );
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document.write( "Next solve the system. You may use any method you want; for example, you may use your pocket calculator,\r\n" );
document.write( "if you have an appropriate software there.\r\n" );
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document.write( "Now I am looking into the first equation, and I see that its left side is a multiple of 3, \r\n" );
document.write( "while the number 13.72 in the right side is not divisible by 3 (the sum of its digits, which is 13, \r\n" );
document.write( "is not divisible by 3).\r\n" );
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document.write( "It tells me that there is no solution in integer cents. \r\n" );
document.write( "At this point my interest to this problem becomes equal to 0 (zero, ZERO).\r\n" );
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document.write( "The ANSWER is: the price of each single orange is 2.3166666666...  cents,\r\n" );
document.write( "               and you may round it to 2.32, \r\n" );
document.write( "               but what follows is just beyond of Mathematics.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Typical \" the second freshness problem \", if you know what this term means.\r
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