document.write( "Question 852900: The cost of one apple and one banana is $1 and the cost of 3 apples and 2 bananas is $2.40. Find the cost of a single banana. \n" ); document.write( "
Algebra.Com's Answer #513766 by ramkikk66(644)\"\" \"About 
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document.write( "The cost of one apple and one banana is $1 and the cost of 3 apples and 2 bananas is $2.40. Find the cost of a single banana.\r\n" );
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document.write( "Ans:\r\n" );
document.write( "Let the cost of apple be a and that of banana be b.\r\n" );
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document.write( "\"a+%2B+b+=+100\" (using cents instead of dollars)\r\n" );
document.write( "\"3%2Aa+%2B+2%2Ab+=+240\"\r\n" );
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document.write( "From the 1st equation, \"b+=+100+-+a\"\r\n" );
document.write( "Substituting for b in the second,\r\n" );
document.write( "\"3%2Aa+%2B+2%2A%28100+-+a%29+=+240\"\r\n" );
document.write( "Simplifying, \"3%2Aa+%2B+200+-+2%2Aa+=+240\" or \"a+=+40\"\r\n" );
document.write( "So \"b+=+100+-+a+=+60\"\r\n" );
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document.write( "Cost of banana is 60 cents or $0.6\r\n" );
document.write( "Cost of appla is 40 cents or $0.4\r\n" );
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document.write( "Check: Cost of 3 apples and 2 bananas = 3*0.4 + 2*0.6 = 1.2 + 1.2 = 2.4. Correct!\r\n" );
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document.write( "Hope this helps :)\r\n" );
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