document.write( "Question 1151690: A school planned to buy x Calculators for a total coast of Ksh 16200 . The supplier agreed to give a discount of Ksh 60 per calculator . The school was then able to get three extra calculators for the same amount of money .
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\n" ); document.write( " (1)Original price of each calculator;
\n" ); document.write( " (2)Price of each calculator after the discount.\r
\n" ); document.write( "\n" ); document.write( " (b)Form an equation in x and hence determine the number of calculators the school bought.\r
\n" ); document.write( "\n" ); document.write( " (c) Calculate the discount offered to the school as a percentage. \n" ); document.write( "

Algebra.Com's Answer #773531 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "(a)  \r\n" );
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document.write( "    (1)   .\r\n" );
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document.write( "    (2)   \r\n" );
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document.write( "(b)        -  = 60.\r\n" );
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document.write( "          To solve it, first cancel the factor 60 in both side\r\n" );
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document.write( "               -  = 1\r\n" );
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document.write( "          Multiply both sides by x*(x+3)\r\n" );
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document.write( "               270*(x+3) - 270x = x*(x+3)\r\n" );
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document.write( "               x^2 + 3x - 810 = 0\r\n" );
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document.write( "               (x+30)*(x-27) = 0.\r\n" );
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document.write( "         Of the two roots  x= -30  and  x= 27, only positive x= 27 is the solution.\r\n" );
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document.write( "(c)      Thus the number of calculators before discount was 27, \r\n" );
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document.write( "             and the price for each single calculator was   = 600.\r\n" );
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document.write( "         After discount, the number of calculators  was  27+3 = 30, \r\n" );
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document.write( "             and the price for each single calculator was  = 540.\r\n" );
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document.write( "         The discount from the price for each single calculator is   =  = 0.1 = 10%.\r\n" );
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\n" ); document.write( "\n" ); document.write( "I answered all questions.\r
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