Answer: 50 cent pieces = qty 3
20 cent pieces = qty 8
Explanation:
Let x represent the 50 cent pieces and y represent the 20 cent pieces. Create a system of equations using the quantity as one equation and the value as the other equation. Use elimination method to solve for one of the variables, then use substitution to solve for the other variable.
x + y = 11 → -20(x + y = 11) → -20x - 20y = -220
.50x + .20y = 3.10 → 100(.50x + .20y = 3.10) → 50x + 20y = 310
30x = 90
x = 3
x + y = 11
3 + y = 11
y = 8