- #1

physics=world

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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?