Question

Dianelys has x dimes and y nickels. She has a maximum of 18 coins worth at least $1.20 combined. Solve this system of inequalities graphically and determine one possible solution.

Inequality 1:y__(1.20-0.10x)/0.0.5
Inequality 2:y__12- 1/2 x

Answer 1

The system of inequalities solved graphically is 5 dimes and 5 nickels

Solving the system of inequalities graphically

From the question, we have the following parameters that can be used in our computation:

Maximum = 18 coins

This means that

x + y ≤ 18

Also, we have

Worth = 0.12 at least

This means that

0.1x + 0.2y ≥ 0.12

The graph of the system of inequalities is attached

And, we have a possible solution to be (5, 5)