document.write( "Question 859754: At an apple stand ,the owner had to discard 1/4 of his apples because of rot. Of those remaining he sold 10% and then someone bought 30 more apples. He received a delivery that quadruples his remaining supply and he ended up with 744 apples. How many did he start with? \n" ); document.write( "
Algebra.Com's Answer #517928 by Edwin McCravy(20060)\"\" \"About 
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At an apple stand ,the owner had to discard 1/4 of his apples because of rot. Of those remaining he sold 10% and then someone bought 30 more apples. He received a delivery that quadruples his remaining supply and he ended up with 744 apples. How many did he start with?
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document.write( "Two ways to do it:\r\n" );
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document.write( "Without algebra, just basic math:\r\n" );
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document.write( "Retrace what happened:\r\n" );
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document.write( "He ended up with 744 apples.\r\n" );
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document.write( "Before that, he received a delivery that quadrupled his supply, so\r\n" );
document.write( "before that delivery he had only 744÷4 = 186 apples.\r\n" );
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document.write( "Before the person bought 30 apples he had 186+30 = 216 apples\r\n" );
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document.write( "That's only 90% of what he had before he sold 10%, and 216÷90% = 216÷0.9 = 240 apples. \r\n" );
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document.write( "That's only 3/4th of what he had before he discarded 1/4, and \r\n" );
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document.write( "240÷(3/4) = 240×(4/3) = 320.\r\n" );
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document.write( "Answer: 320.\r\n" );
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document.write( "Using algebra:\r\n" );
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document.write( "He started with N apples:\r\n" );
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document.write( "He had to discard 1/4 of them\r\n" );
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document.write( "So after that, he had N - (1/4)N = N - 0.25N = 0.75N\r\n" );
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document.write( "he sold 10% \r\n" );
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document.write( "So after that, he had 0.75N - 0.10(.75N) = 0.675N\r\n" );
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document.write( "Someone bought 30 more apples.  \r\n" );
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document.write( "So after that he had 0.675N - 30\r\n" );
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document.write( "He received a delivery that quadrupled his remaining supply \r\n" );
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document.write( "So after that he had 4(0.675N - 30)\r\n" );
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document.write( "and he ended up with 744 apples.\r\n" );
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document.write( "So the equation is\r\n" );
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document.write( "4(0.675N - 30) = 744\r\n" );
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document.write( "Divide both sides by 4\r\n" );
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document.write( "0.675N - 30 = 186\r\n" );
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document.write( "Add 30 to both sides:\r\n" );
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document.write( "     0.675N = 216 \r\n" );
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document.write( "Divide both sides by 0.675\r\n" );
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document.write( "         N = 320.\r\n" );
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document.write( "Edwin
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