document.write( "Question 623949: A man buys 12 apples every month. If the price fall by 40%, how many more apples would he be able to buy for the exact same amount? \n" ); document.write( "
Algebra.Com's Answer #392442 by Theo(13342)![]() ![]() You can put this solution on YOUR website! z equals what he pays each month. \n" ); document.write( "x equals the price he pays each month. \n" ); document.write( "he buys 12 apples at a cost of x. \n" ); document.write( "the equation becomes: \n" ); document.write( "z = 12x \n" ); document.write( "the price drops 40%. \n" ); document.write( "the new price is now .6x per apple. \n" ); document.write( "he still pays the same each month, so the new equation is: \n" ); document.write( "z = y*.6x where y is the new number of apples he can now buy. \n" ); document.write( "since both expressions on the right side of the equations equal z on the left side of the equations, you can set the expressions equal to each other to get: \n" ); document.write( "12x = y*.6x \n" ); document.write( "divide both sides of this equation by .6x and you get: \n" ); document.write( "12x / .6x = y \n" ); document.write( "x cancels out and you are left with: \n" ); document.write( "y = 12/.6 which simplifies to: \n" ); document.write( "y = 20 \n" ); document.write( "if the price drops 40% he can buy 20 apples each month rather than 12 apples each month. \n" ); document.write( "assume he pays 1.00 per apple. \n" ); document.write( "12 * 1.00 = 12.00 what he pays each month. \n" ); document.write( "the price drops by 40% which means the price per apple is now 60 cents. \n" ); document.write( "20 * 60 cents = 12.00 dollars. \n" ); document.write( "he pays 12.00 for 12 apples at the old price and he pays 12.00 for 20 apples at the new price.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |