Question

Tyshawn has x

x quarters and y

y dimes, having at most 22 coins worth no less than $3.40 combined. At most 16 of the coins are quarters and a maximum of 6 of the coins are dimes. Solve this system of inequalities graphically and determine one possible solution.

Answer 1

Answer: The solution is bounded by the quadilateral region with endpoint coordinates (0,0), (0,6), (11.2, 6)

and (13.6, 0)

Explanation:

Attached the graph.

Set up the inequalities

x + y <= 22

0.25x + 0.1y >= 3.40

x <= 16

y <= 6

rewrote inequalities as y <= -x + 22 and y >= -2.5x + 34 x <=16, y <=6

From MysticAlanCheng