Context Inequality

Question

Christian has x quarters and y dimes, having at least 18 coins worth a maximum of $3.60 combined. No less than 4 of the coins are quarters. Solve this system of inequalities graphically and determine one possible solution

Answer 1

x + y = 18

0.25x + 0.1y = 3.60

We have at least 4 quarters

If we graph both equations, the point of intersection will give us our answer.

In this case, the lines intersect at the point (12, 6) which means I have 12 quarters and 6 dimes.

This solution is correct as it also satisfies the condition of having at least 4 quarters.