Question

The Art Club at Reynolds High School (ROCA) is selling paintings and clay coffee mugs to raise money for a trip to all the museums on the west coast. The cost for each painting is $20 and each mug is $15. The Art Club thinks they will sell at most 350 items. In order to meet their goal, they want to raise more than $4500. Write a system of linear inequalities to model the situation and then solve.

Answer 1

See below and attached

Explanation:

Let the number of paintings is x and the number of mugs is y.

We have following inequalities:

• x + y ≤ 350
• 20x + 15y > 4500

The graphical solution is attached.

The solution is:

• 225 < x ≤ 350
• 300 < y ≤ 350