Jamie has a jar of coins containing the same number of nickels, dimes and quarters. The total value of the coins in the jar is $\$$13.20. How many nickels does Jamie have?
I also need to keep in mind that the jar has the same number of each coin, so I can use a variable to represent that number. Let x be the number of nickels, dimes and quarters in the jar. Then the value of the nickels is 5x cents, the value of the dimes is 10x cents, and the value of the quarters is 25x cents. The total value of the coins in the jar is 13.20 dollars, or 1320 cents. This means that 5x + 10x + 25x = 1320. I can simplify this equation by combining like terms: 40x = 1320. To solve for x, I need to divide both sides by 40: x = 1320 / 40. This gives me x = 33. Since x is the number of nickels, dimes and quarters in the jar, I can conclude that Jamie has 33 nickels. 