document.write( "Question 486861: You have 55 coins totaling $10. There are more nickels than pennies, more dimes than nickles, and more quarters than dines. How many of each coin do you have? \n" ); document.write( "
Algebra.Com's Answer #332904 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "I will assume that you have some pennies. Then\r\n" ); document.write( "since $10.00 is 1000 cents, a multiple of 5, you\r\n" ); document.write( "must have a multiple of 5 pennies. So the smallest\r\n" ); document.write( "number of pennies we can have is 5. That makes that \r\n" ); document.write( "the smallest number of nickels we could have would\r\n" ); document.write( "be 6.\r\n" ); document.write( " \r\n" ); document.write( "We will have the greatest possible number of quarters \r\n" ); document.write( "if we have the least possible number of pennies, nickels and dimes.\r\n" ); document.write( "\r\n" ); document.write( "That would be 5 pennies, 6 nickels and 7 dimes, which is 105 cents.\r\n" ); document.write( "Since 1000-105 = 895. When we divide that by 25, we get 35.8. So\r\n" ); document.write( "that tells us we cannot have more than 35 quarters. \r\n" ); document.write( "\r\n" ); document.write( "Hmmm! Let's see if that's possible. 5 pennies, 6 nickels, and \r\n" ); document.write( "35 quarters.\r\n" ); document.write( "\r\n" ); document.write( "That's a total of: \r\n" ); document.write( "\r\n" ); document.write( " coins money\r\n" ); document.write( "pennies 5 $ .05\r\n" ); document.write( "nickels 6 .30\r\n" ); document.write( "quarters 35 $8.75 \r\n" ); document.write( "-----------------------\r\n" ); document.write( "totals 46 $9.10\r\n" ); document.write( "\r\n" ); document.write( "So we have 9 coins to go and 90 cents to go\r\n" ); document.write( "in dimes, and so -- eureka! That's easy. We \r\n" ); document.write( "can get that with 9 dimes.\r\n" ); document.write( "\r\n" ); document.write( "So we end up with:\r\n" ); document.write( " \r\n" ); document.write( " coins money\r\n" ); document.write( "pennies 5 $ .05\r\n" ); document.write( "nickels 6 .30\r\n" ); document.write( "dimes 9 .90 \r\n" ); document.write( "quarters 35 $8.75 \r\n" ); document.write( "-----------------------\r\n" ); document.write( "totals 55 $10.00\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |