document.write( "Question 1192460: Fifteen children’s books cost $51.25. Some were priced at $2.25 each, and the rest of the books were sold at $4.75 each. How many books were purchased at each price? \n" ); document.write( "
Algebra.Com's Answer #824331 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Fifteen children’s books cost $51.25. Some were priced at $2.25 each, \n" ); document.write( "and the rest of the books were sold at $4.75 each. \n" ); document.write( "How many books were purchased at each price? \n" ); document.write( "~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "x books at the price $4.75 each and\r\n" ); document.write( "\r\n" ); document.write( "(15-x) books at the price of $2.25 each.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Write the total money equation\r\n" ); document.write( "\r\n" ); document.write( " 4.75x + 2.25*(15-x) = 51.25 dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and find x\r\n" ); document.write( "\r\n" ); document.write( " 4.75x + 2.25*15 - 2.25x = 51.25\r\n" ); document.write( "\r\n" ); document.write( " 4.75x - 2.25x = 51.25 - 2.25*15\r\n" ); document.write( "\r\n" ); document.write( " 2.50x = 17.50\r\n" ); document.write( "\r\n" ); document.write( " x = 17.50/2.50 = 7.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. 7 books at $4.75 each, and the rest 15-7 = 8 books at $2.25 each.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK total money: 7*4.75 + 8*2.25 = 51.25 dollars. ! Correct !\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |