document.write( "Question 2431: A store sold 200 racquets. Some sold for $33 and some sold for $18. The total value of the racquets sold was $4,800. How many racquets sold for $33 and how many sold for $18. \n" ); document.write( "
Algebra.Com's Answer #1041 by gsmani_iyer(201)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( " Let us say the racquets sold at lower rate = x \n" ); document.write( " Let us say the racquets sold at higher rate = y\r \n" ); document.write( "\n" ); document.write( " Now, we will frame equations. The total racquets sold = 200 \n" ); document.write( " So x + y = 200 ...... (1) \n" ); document.write( " In all the total amount received = $4800 \n" ); document.write( " So 18x + 33y = 4800 ...... (2) \n" ); document.write( "(1)*18, we get \n" ); document.write( " 18x + 18y = 3600 ...... (3) \n" ); document.write( " (2)-(3), we get \n" ); document.write( " 15y = 1200 \n" ); document.write( "So Y = \n" ); document.write( "Substituting the value of y in the eq.(1), we get \n" ); document.write( " x + 80 = 200 i.e x = 200-80 = 120\r \n" ); document.write( "\n" ); document.write( "So the no. of racquets sold at $18 = 120 \n" ); document.write( " the no. of racquets sold at $33 = 80 Answer.\r \n" ); document.write( "\n" ); document.write( "gsm\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |