1. There are 100 coins on the table. The coins consist of nickels, dimes, and quarters. The total value is $15.85. How many of each coins are there? 3. I setup a system of equations. x = nickels y = dimes z = quarters x + y + z = 100 0.05x + 0.10y + 0.25z = 15.85 I then solve and reduce and get: x + y + z = 100 y + 5z = 217 I move over variables and get: x = 100 - y - z y = 217 - 5z Since there are more variables than equations I assume that there are many solutions, and try using a parametric representation. x = 100 - y - z y = 217 - 5t where t = any real number I plug in numbers but end up not getting the value 15.85. The most I can get is somewhere near 14.00. I was wondering if my setup is wrong. Is there another way to solve this problem?