document.write( "Question 24478: I have a story problem that is giving me a problem could somebody please help?\r
\n" ); document.write( "\n" ); document.write( "Mr.Adams buys a bag of apples and a bag of pears for a total of 14$. There are eight pounds of fruit in all. The apples cost $1.50 per pound, and the pears cost $2.30 perpound. HOw many pounds of pears did he buy? \n" ); document.write( "
Algebra.Com's Answer #13025 by Paul(988)\"\" \"About 
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Let x represent the number of apples
\n" ); document.write( "Let y represent the number of pears
\n" ); document.write( "Total = 8\r
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\n" ); document.write( "\n" ); document.write( "x+y=8
\n" ); document.write( "y=8-x\r
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\n" ); document.write( "\n" ); document.write( "Cost of apples = $1.50
\n" ); document.write( "Cost of pears = $2.30
\n" ); document.write( "Total cost = $14 \r
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\n" ); document.write( "\n" ); document.write( "1.50x+2.30y=14 (subsitute)
\n" ); document.write( "1.50x+2.30(8-x)=14
\n" ); document.write( "1.50x+18.40-2.30x=14
\n" ); document.write( "-0.8x =-4.4 Divide both sides by -0.8
\n" ); document.write( "x = 5.5 \r
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\n" ); document.write( "\n" ); document.write( "y=8-5.5
\n" ); document.write( "y=2.5\r
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\n" ); document.write( "\n" ); document.write( "Hence there were 2.5 pounds of pears and 5.5 pounds of apples.
\n" ); document.write( "Check. $1.50(5.5)+$2.3(2.5)=$14
\n" ); document.write( "Paul.\r
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