Context Inequality Systems

Question

Claire has x dimes and y quarters, having at least 16 coins worth no more than $3 combined. No more than 22 of the coins are dimes and no more than 4 of the coins are quarters. Solve this system of inequalities graphically and determine one possible solution. Please show on a graph and all work.

Answer 1

Graph the following system

x + y ≥ 16

0.10x + 0.25y ≤ 3.00

x ≤ 22

y ≤ 4

Locate the corner points and test.