Matrix Applications in Real-Life Word Problems: Grade 10

A bakery produces two types of cakes: chocolate and vanilla. The cost to make one chocolate cake is $5 and one vanilla cake is $3. If the bakery makes 10 chocolate cakes and 15 vanilla cakes, represent the total cost using a matrix and calculate the total cost.

• $100

• $80

• $75

• 95

A school is organizing a field trip for two classes. Class A has 20 students and Class B has 25 students. The cost per student for the trip is $15. Create a matrix to represent the total cost for each class and find the overall cost for the trip.

• $500

• $600

• The overall cost for the trip is $675.

• $750

A car rental company has two types of cars: sedans and SUVs. The rental cost for a sedan is $30 per day and for an SUV is $50 per day. If 5 sedans and 3 SUVs are rented for one day, use a matrix to find the total rental cost.

• 150

• 250

• 300

• 400

A farmer has two types of crops: corn and wheat. He has 40 acres of corn and 30 acres of wheat. If the profit per acre for corn is $200 and for wheat is $150, create a matrix to represent the total profit and calculate the total profit from both crops.

• $15000

• $13500

• $10000

• $12500

A gym offers two types of memberships: basic and premium. The basic membership costs $25 per month and the premium membership costs $40 per month. If 50 basic and 30 premium memberships are sold, represent this situation with a matrix and calculate the total revenue.

• $3000

• $2000

• $1500

• 2450

A clothing store sells two types of shirts: t-shirts and dress shirts. The price of a t-shirt is $20 and a dress shirt is $35. If the store sells 60 t-shirts and 40 dress shirts, use a matrix to find the total sales revenue.

• $3000

• 2600

• $2000

• $2400

A delivery service has two types of packages: standard and express. The cost to deliver a standard package is $10 and an express package is $20. If 100 standard and 50 express packages are delivered, create a matrix to represent the total delivery cost and calculate it.

• 2000

• 3000

• 2500

• 1500

A concert venue has two types of tickets: general admission and VIP. The price for general admission is $50 and for VIP is $100. If 200 general admission and 100 VIP tickets are sold, represent this situation with a matrix and calculate the total revenue from ticket sales.

• 20000

• 30000

• 15000

• 25000

A restaurant offers two types of meals: vegetarian and non-vegetarian. The cost of a vegetarian meal is $12 and a non-vegetarian meal is $18. If the restaurant serves 80 vegetarian and 60 non-vegetarian meals, use a matrix to find the total revenue from meals.

• 1500

• 2400

• 2040

• 1800

A tech company produces two products: laptops and tablets. The profit from each laptop is $300 and from each tablet is $200. If the company sells 150 laptops and 100 tablets, create a matrix to represent the total profit and calculate the total profit from both products.

• 55000

• 65000

• 60000

• 70000