May's restaurant ordered 200 flowers for Mother's Day. They ordered carnations at $1.50/each, roses at $5.75 each, and daisies at $2.60 each. They ordered mostly carnations, and 20 less roses than daisies. The total order came to $589.50. How many of each type of flower was ordered?

1. Set up the system of three equations that will be used to solve this problem, and identify what each variable represents:
2. Decide which matrix method will be used to solve the problem and state it here: (Choose between Inverse Matrices, Gaussian Elimination, and Gauss-Jordan Elimination.)
3. Solve the problem using the method chosen above. SHOW ALL WORK!
4. Check the solution by plugging the values into each of the original equations from #2 above. SHOW ALL WORK!