document.write( "Question 760657: If you bought $4000 worth of some items and sold it for $5000 dollars, making $50 on each, how much the each Item were originally bought \n" ); document.write( "
Algebra.Com's Answer #462809 by arobin4(1)![]() ![]() ![]() You can put this solution on YOUR website! let 'a' be the quantity of items purchased. \n" ); document.write( "let 'b' be the original cost of each item.\r \n" ); document.write( "\n" ); document.write( "(a)(b) = 4000 This is Equation 1\r \n" ); document.write( "\n" ); document.write( "(a)(b + 50) = 5000 This is Equation 2\r \n" ); document.write( "\n" ); document.write( "Solve Equation 1 and Equation 2 simultaneously. \n" ); document.write( "Step 1: Solve for 'a' in Equation 1 to get (a)=4000/(b)\r \n" ); document.write( "\n" ); document.write( "Step 2: Substitute 'a' from step 1 for 'a' in step 2 to get Equation 3 below\r \n" ); document.write( "\n" ); document.write( "(4000 / b)(b + 50) = 5000 This is Equation 3\r \n" ); document.write( "\n" ); document.write( "Step 3: Solve Equation 3 for 'b' to get b=$200\r \n" ); document.write( "\n" ); document.write( "'b' is the original cost of each item. Therefore the answer is $200. \n" ); document.write( " |