document.write( "Question 586416: The town recreation department ordered a total of 100 balls and bats and hats for the summer baseball camp. Balls cost $4.50 each, and bats cost $20.00 each. The total purchase was $822. How many of each item were ordered? \n" ); document.write( "
Algebra.Com's Answer #373739 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The town recreation department ordered a total of 100 balls and bats and hats for the summer baseball camp. Balls cost $4.50 each, and bats cost $20.00 each. The total purchase was $822. How many of each item were ordered? \n" ); document.write( "-------- \n" ); document.write( "Equations: \n" ); document.write( "b + h = 100 \n" ); document.write( "4.5b + 20h = 822 \n" ); document.write( "------ \n" ); document.write( "Multiply thru 1st by 200 \n" ); document.write( "Multiply thru 2nd by 10. \n" ); document.write( "-------- \n" ); document.write( "200b + 200h = 200*100 \n" ); document.write( "45b + 200h = 8220 \n" ); document.write( "------------------------ \n" ); document.write( "Subtract and solve for \"b\": \n" ); document.write( "155b = 11780 \n" ); document.write( "# of balls = 76 \n" ); document.write( "---- \n" ); document.write( "# of bats = 100-76 = 24 \n" ); document.write( "-------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=================== \n" ); document.write( " \n" ); document.write( " |