document.write( "Question 536713: A storeowner buys a quantity of tennis ball for $600. If they had each cost $0.25 less, she would have had 10 more for the same money. How much did she pay for each ball?\r
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Algebra.Com's Answer #352569 by josmiceli(19441)\"\" \"About 
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Let \"+n+\" = the number of tennis balls she bought
\n" ); document.write( "Her cost/ball is \"+600%2Fn+\"
\n" ); document.write( "The cost/ball minus 25 cents is \"+600%2Fn+-+.25+\"
\n" ); document.write( "given:
\n" ); document.write( "( cost/ball ) x ( number of balls ) = cost
\n" ); document.write( "\"+%28+600%2Fn+-+.25+%29%2A%28+n+%2B+10+%29+=+600+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "\"+600+-+.25n+%2B+6000%2Fn+-+2.5+=+600+\"
\n" ); document.write( "Subtract \"600\" from both sides
\n" ); document.write( "\"+-.25n+%2B+6000%2Fn+-+2.5+=+0+\"
\n" ); document.write( "\"+-.25n+%2B+6000%2Fn+=+2.5+\"
\n" ); document.write( "Multiply both sides by \"n\"
\n" ); document.write( "\"+-.25n%5E2+%2B+6000+=+2.5n+\"
\n" ); document.write( "\"+-.25n%5E2+-+2.5n+%2B+6000+=+0+\"
\n" ); document.write( "Multiply both sides by \"+4+\"
\n" ); document.write( "\"+-n%5E2+-10n+%2B+24000+=+0+\"
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+-1+\"
\n" ); document.write( "\"+b+=+-10+\"
\n" ); document.write( "\"+c+=+24000+\"
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\n" ); document.write( "\"+n+=+%28+10+%2B-+sqrt%28++100+%2B+96000+%29%29%2F%28-2%29+\"
\n" ); document.write( "\"+n+=+%28+10+-+310%29%2F%28-2%29+\" ( use the (-) square root )
\n" ); document.write( "\"+n+=+-300%2F-2+\"
\n" ); document.write( "\"+n+=+150+\"
\n" ); document.write( "She paid $600 for 150 balls, so she paid
\n" ); document.write( "\"+600+%2F+150+=+4+\"
\n" ); document.write( "$4 for each ball
\n" ); document.write( "check answer:
\n" ); document.write( "\"+%28+600%2Fn+-+.25+%29%2A%28+n+%2B+10+%29+=+600+\"
\n" ); document.write( "\"+%28+600%2F150+-+.25+%29%2A%28+150+%2B+10+%29+=+600+\"
\n" ); document.write( "\"+%28+4+-+.25+%29%2A160+=+600+\"
\n" ); document.write( "\"+3.75%2A160+=+600+\"
\n" ); document.write( "\"+600+=+600+\"
\n" ); document.write( "OK
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