document.write( "Question 1039691: How many Pennies and nickels do u need to make $520in cash? \n" ); document.write( "
Algebra.Com's Answer #654466 by Theo(13342)![]() ![]() You can put this solution on YOUR website! $520 is equal to 520 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "each dollar contains 100 cents, so 520 dollars is equal to 52,000 cents.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "each nickel is worth 5 cents, so take 52,000 and divide it by 5 and you get 10,400 nickels.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "each penny is worth 1 cent, so take 52,000 and divide it by 1 and you get 52,000 pennies.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "any combination in between will do as long as you work it by changing the values 5 cents at a time.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for example:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can have 10,400 nickels and 0 pennies. \n" ); document.write( "take away one nickel and you have 10399 nickels and 5 pennies. \n" ); document.write( "take away another nickel and you have 10398 nickels and 10 pennies.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so the number of nickels and pennies can be any combination of nickels from 0 to 10,400 and any combination of pennies from 0 to 52,000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can actually graph this.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "start with 5x + y = 52,000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x is the number of nickels and y is the number of pennies.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for y to get y = 52,000 - 5x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "graph that equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can see from the graph that,...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 0, y = 52,000 \n" ); document.write( "when x = 6,000, y = 22,000 \n" ); document.write( "when x = 10,400, y = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 0 and y = 52,000 tells you that there are 0 nickels and 52,000 pennies. \n" ); document.write( "since each nickel is worth 5 cents and each penny is worth 1 cent, the total value is 0 * 5 + 52,000 * 1 = 52,000 cents which is equal to 520 dollars\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 6,000 and y = 22,000 tells you that there are 6,000 nickels and 22,000 pennies. \n" ); document.write( "since each nickel is worth 5 cents and each penny is worth 1 cent, the total value is 6,000 * 5 + 22,000 * 1 = 52,000 cents which is equal to 520 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 10,400 and y = 0 tells you that there are 10,400 nickels and 0 pennies. \n" ); document.write( "since each nickel is worth 5 cents and each penny is worth 1 cent, the total value is equal to 10,400 * 5 + 0 * 1 = 52,000 cents which is equal to 520 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can pick any value of x and the graph will tell you the corresponding value of y.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can also use the formula without graphing.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the same formula applies.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 52,000 - 5*x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x tells you the number of nickels, which you supply between 0 and 10,400. \n" ); document.write( "y tells you the number of pennies.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is what the graph will look like:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |