document.write( "Question 975765: A boy has a lemonade stand with a cash box that has 28 coins in it. If the coins are made up of nickles and half dollars and have a value of $7.25, how many of each coins does he have in the cash box? \n" ); document.write( "
Algebra.Com's Answer #597534 by algebrahouse.com(1659) You can put this solution on YOUR website! x = number of nickels \n" ); document.write( "28 - x = number of half-dollars\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.05x + 0.5(28 - x) = 7.25 {value of coin times number of coins equals total value} \n" ); document.write( "0.05x + 14 - 0.5x = 7.25 {used distributive property} \n" ); document.write( "-0.45x + 14 = 7.25 {combined like terms} \n" ); document.write( "-0.45x = -6.75 {subtracted 14 from each side} \n" ); document.write( "x = 15 {divided each side by -0.45} \n" ); document.write( "28 - x = 13 {substituted 15, in for x, into 28 - x}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15 nickels \n" ); document.write( "13 half-dollars \n" ); document.write( " To ask a question, visit: www.algebrahouse.com \n" ); document.write( " |