document.write( "Question 747249: If they bought one peppermint pattie, One lollipop, and One gumdrop, the total 21 cents and you found that it costs the same amount of money to buy 2 peppermint patties & 1 gumdrop costs 2 cents more than a lollipop find out the cost of each kind of candy \n" ); document.write( "
Algebra.Com's Answer #454904 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! If they bought one peppermint pattie, One lollipop, and One gumdrop, \n" ); document.write( " the total 21 cents; and you found that it costs the same amount of money to \n" ); document.write( " buy 2 peppermint patties; & 1 gumdrop costs 2 cents more than a lollipop \n" ); document.write( " find out the cost of each kind of candy \n" ); document.write( ": \n" ); document.write( "\"they bought one peppermint pattie, One lollipop, and One gumdrop, the total 21 cents\" \n" ); document.write( "p + l + g = 21 \n" ); document.write( ": \n" ); document.write( "\"it costs the same amount of money to buy 2 peppermint patties\" \n" ); document.write( "2p = 21 \n" ); document.write( "p = 21/2 \n" ); document.write( "p = 10.5 for one peppermint \n" ); document.write( "then \n" ); document.write( "10.5 + l + g = 21 \n" ); document.write( "l + g = 21 - 10.5 \n" ); document.write( "l + g = 10.5 \n" ); document.write( ": \n" ); document.write( "\"1 gumdrop costs 2 cents more than a lollipop\" \n" ); document.write( "g = l + 2 \n" ); document.write( "-l + g = 2 \n" ); document.write( ": \n" ); document.write( "Add the last two equations \n" ); document.write( "l + g = 2 \n" ); document.write( "-l+ g = 10.5 \n" ); document.write( "------------Adding eliminates l, find g \n" ); document.write( "2g = 12.5 \n" ); document.write( "g = 12.5/2 \n" ); document.write( "g = 6.25 for one gum drop \n" ); document.write( ": \n" ); document.write( "l + 6.25 = 10.5 \n" ); document.write( "l = 10.5 - 6.25 \n" ); document.write( "l = 4.25 for one lollipop \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if this checks out \n" ); document.write( "10.5 + 6.25 + 4.25 = 21\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |