document.write( "Question 1166967: 1. Sam prepared a snack food that is prepared by mixing nuts and dried fruits and vegetables. A bag of nuts cost P40.00 and a bag of dried fruits cost P80.00. She would like to prepare 5 bags of the mixture that will cost P60.00 per bag. How many bags of nuts and dried fruits should Sam purchase?\r
\n" ); document.write( "\n" ); document.write( "2. Joseph was tasked to buy two brands of milk. The price of brand A per box is P100.00 and the price of brand B is P120.00. His budget is 600. He is to buy twice as many cans of brand A than brand B. How many boxes of each brand will he purchase? \n" ); document.write( "

Algebra.Com's Answer #851819 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Of the two posted problems, I will solve here problem #2.\r
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document.write( "    2. Joseph was tasked to buy two brands of milk. The price of brand A per box is P100.00 \r\n" );
document.write( "    and the price of brand B is P120.00. His budget is 600. He is to buy twice as many cans \r\n" );
document.write( "    of brand A     brand B. How many boxes of each brand will he purchase?\r\n" );
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document.write( "                   S O L U T I O N\r\n" );
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document.write( "Let x be the number of cans brand B.  Then the number of cans brand A is 2x.\r\n" );
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document.write( "Write the inequality for the budget\r\n" );
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document.write( "    100*(2x) + 120*x <= 600.\r\n" );
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document.write( "Simplify and get the solution for x\r\n" );
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document.write( "    200x + 120x <= 600,\r\n" );
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document.write( "    320x <= 600\r\n" );
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document.write( "       x <=  = 1.875.\r\n" );
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document.write( "Since x must be non-negative integer, we have two possible values for x:  0 and 1.\r\n" );
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document.write( "The '0' is degenerated solution, and only meaningful solution is \r\n" );
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document.write( "    \"two cans of brand A and one can of brand B\".    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "In the future, do not pack more than one problem per post.\r
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