Question

Samantha has xx pennies and yy nickels. She has at most 20 coins worth at least $0.40 combined. Solve this system of inequalities graphically and determine one possible solution.

Answer 1

x + y ≤ 20

10 + 10 ≤ 20 (This is true)

x + 5y ≥ 40

10 + 5(10) ≥ 40

10 + 50 ≥ 40

60 ≥ 40 (This is also true)

Both inequalities are satisfied, confirming that the solution (10 pennies and 10 nickels) is valid.