document.write( "Question 394308: Four friends have a penny, a nickel, a dime, and a quarter. Jeff's coin is smaller in size than Wendy's coin. Wendy's coin is worth five times as much as Linda's coin. Fred's coin is worth more than Wendy's.What coin does each friend have? \n" ); document.write( "
Algebra.Com's Answer #279785 by josmiceli(19441) You can put this solution on YOUR website! Wendy must have either a nickel or a quarter, since \n" ); document.write( "25 = 5 x 5 (five times a nickel) \n" ); document.write( "or \n" ); document.write( "5 = 5 x 1 (five times a penny) \n" ); document.write( "Therefore, If Wendy has a quarter, Linda has a nickel \n" ); document.write( "and if Wendy has a nickel, Linda has a penny. \n" ); document.write( "--------------------- \n" ); document.write( "The only coin that neither can have is a dime, since \n" ); document.write( "10/5 = 2, and there's no 2 cent coin. Also \n" ); document.write( "10 x 5 = 50, and no one has a 50 cent coin. \n" ); document.write( "--------------------- \n" ); document.write( "Therefore either Jeff or Fred must have a dime \n" ); document.write( "Jeff's coin is smaller than Wendy's, so he could have the dime \n" ); document.write( "--------------------- \n" ); document.write( "Fred's coin is worth more than Wendy's. If that is so, \n" ); document.write( "then Fred cannot have a penny or a nickel, since a nickel is \n" ); document.write( "the least value coin Wendy can have \n" ); document.write( "--------------------- \n" ); document.write( "So, Fred either has a dime or a quarter \n" ); document.write( "Suppose Fred has a dime. Wendy would have to have the nickel. \n" ); document.write( "Then Linda would have to have the penny, But Jeff's coin \n" ); document.write( "needs to be smaller than Wendy's, and only the quarter is left. \n" ); document.write( "--------------------- \n" ); document.write( "So, Fred can't have a dime and he must have the quarter. \n" ); document.write( "That means \n" ); document.write( "Fred has the quarter \n" ); document.write( "Wendy has the nickel \n" ); document.write( "Linda has the penny \n" ); document.write( "Jeff has the dime, which is smaller than Wendy's nickel\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |