Inequality Word Problems with Two Variables

A company sells two types of products, A and B. The profit from product A is $5 per unit, and the profit from product B is $8 per unit. The company wants to make at least $200 in profit. Write an inequality to represent this situation.

• 5A + 8B = 200

• 5A - 8B ≥ 200

• 5A + 8B ≤ 200

• 5A + 8B ≥ 200

A bakery sells two types of cakes, chocolate and vanilla. The chocolate cake costs $10, and the vanilla cake costs $8. The bakery wants to make at least $200 in sales. Write an inequality to represent this situation.

• 10x + 8y = 200

• 10x + 8y ≥ 200

• 10x - 8y ≥ 200

• 10x + 8y ≤ 200

A car rental company charges $30 per day plus $0.25 per mile driven. A customer wants to spend no more than $100 on a rental. Let d represent the number of days the car is rented, and m represent the number of miles driven. Write an inequality to represent this situation.

• 30d + 0.25m = 100

• 30d + 0.25m ≤ 100

• 30d + 0.25m ≥ 100

• 30d - 0.25m ≤ 100

A store sells two types of shirts, red and blue. The store wants to sell at least 50 shirts in total. Let r represent the number of red shirts sold, and b represent the number of blue shirts sold. Write an inequality to represent this situation.

• r - b ≥ 50

• r + b = 50

• r + b ≥ 50

• r × b ≥ 50

A company offers two types of internet plans, basic and premium. The company wants to have at least 500 customers in total. Let b represent the number of basic plan customers, and p represent the number of premium plan customers. Write an inequality to represent this situation.

• b - p ≥ 500

• b + p = 500

• b + p ≥ 500

• b - p = 500