document.write( "Question 757472: A real estate salesperson bought promotional calendars and date books to give to her customers at the end of the year. The calendars cost $0.75 each, and the date books cost $0.50 each. She ordered a total of 500 promotional items and spent $300. How many of each item did she order? \n" ); document.write( "
Algebra.Com's Answer #460880 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Calendars = x \n" ); document.write( "Books = y \n" ); document.write( " x + y = 500........1 \n" ); document.write( "75x + 50y = 30000......2 \n" ); document.write( "Multiply (1) by 50 \n" ); document.write( " 50x + 50y = 25000.....3 \n" ); document.write( " 75x + 50y = 30000.....2 \n" ); document.write( "Subtract (3) from (2) \n" ); document.write( " 25x = 5000 \n" ); document.write( "Divide both sides by 25 \n" ); document.write( " x = 200 \n" ); document.write( "Substitute x = 200 in \n" ); document.write( "Eq(1) \n" ); document.write( " x + y = 500 \n" ); document.write( "200 + y = 500 \n" ); document.write( " y = 500 - 200 \n" ); document.write( " y = 300 \n" ); document.write( "Therefore, the salesperson ordered \n" ); document.write( "200 calendars and 300 date books. \n" ); document.write( "Hope this helps. \n" ); document.write( ":-) \n" ); document.write( " |