There’s a total of 500 coins. For every 2 nickels there are 3 dimes & for every 2 dimes there are 5 quarters. How many dimes, nickels, & quarters are there? How do u find the answer to this?

Answer 1

Let the number of nickels be n. Then, the number of dimes is 3/2 n. There are 5/2 as many quarters as dimes, so there are 5/2 * 3/2 = 15/4 as many quarters as nickels = 15/4 n Thus, the number of nickels, dimes, and quarters is n + 3/2 n + 15/4 = 4/4 n + 6/4 n + 15/4 n = 25/4 n

25/4 n = 500

n = 500 * 4/25 = 80

d = 3/2 n = 3/2 * 80 = 120

q = 15/4 n = 15/4 * 80 = 300

80 + 120 + 300 = 500