document.write( "Question 2794: A storeowner buys a quality of balls for $600. If they had each cost $0.25 less, shewould have had 10 more for the same money. How much did she pay for each ball? \n" ); document.write( "

Algebra.Com's Answer #1217 by sujatha.krishna(11) $\"\"$ $\"About$

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Assume
\n" ); document.write( "x = number of balls
\n" ); document.write( "y = cost of each ball\r
\n" ); document.write( "\n" ); document.write( "x * y = 600
\n" ); document.write( "y = 600/x\r
\n" ); document.write( "\n" ); document.write( "If each ball costed 0.25$ less, then she would have 10 balls more for the same cost -
\n" ); document.write( "(x+10) * (y-0.25) = 600\r
\n" ); document.write( "\n" ); document.write( "This when further simplified comes to
\n" ); document.write( "xy + 10y - 0.25x - 2.5 = 600
\n" ); document.write( "600 + 10y - x/4 - 2.5 = 600
\n" ); document.write( "10y -x/4 = 2.5\r
\n" ); document.write( "\n" ); document.write( "Multiplying this whole equation by 4
\n" ); document.write( "40y - x = 10
\n" ); document.write( "40 (600/x) - x = 10\r
\n" ); document.write( "\n" ); document.write( "Multiplying the whole equation by x
\n" ); document.write( "24000 - x2 = 10x
\n" ); document.write( "x2+10x=24000\r
\n" ); document.write( "\n" ); document.write( "So x =150 and hence y = 600/150 = 4\r
\n" ); document.write( "\n" ); document.write( "So the store owner bought 150 balls for 4$ each \n" ); document.write( "

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