Noelle has 198 coins, all nickels and dimes. Noelle has 20 more nickels than dimes. How many of each coin does Noelle have?

Answer: 109 nickels and 89 dimes

Steps:

198 coins in total and the amount of nickels are 20 more than dimes. (n for the amount of nickels, d for the amount of dimes):

n = 20 + d

n + d = 198

Take the first equation and make it into:

n - d = 20

Now let's add both equations together:

n + d + n - d = 218

2n = 218

n = 109

109 - 20 = d

d = 89

Answer: 109 nickels and 89 dimes

Step-by-step explanation: 198 minus 20 is 178 and 178 divided by 2 is 89 and 89 plus 20 is 109 so there are 109 nickels and 89 dimes