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WorksheetsReal-Life Applications of Matrix Systems in Grade 11
Total questions: 10
Worksheet time: 5mins
A farmer has two types of crops: corn and wheat. He sells corn for $3 per bushel and wheat for $4 per bushel. If he sells a total of 100 bushels for $360, how many bushels of each crop did he sell? Set up and solve the system using matrices.
50 bushels of corn and 50 bushels of wheat
20 bushels of corn and 80 bushels of wheat
40 bushels of corn and 60 bushels of wheat
30 bushels of corn and 70 bushels of wheat
A school is organizing a field trip and has two types of tickets: student tickets for $15 and adult tickets for $25. If they sold a total of 80 tickets for $1,500, how many student and adult tickets were sold? Use matrices to find the solution.
50 student tickets and 30 adult tickets
70 student tickets and 10 adult tickets
40 student tickets and 40 adult tickets
60 student tickets and 20 adult tickets
A company produces two products, A and B. Product A requires 2 hours of labor and $5 in materials, while product B requires 3 hours of labor and $8 in materials. If the company has 100 hours of labor and $200 for materials, how many of each product can they produce? Solve using matrices.
20 units of product A and 10 units of product B
10 units of product A and 20 units of product B
15 units of product A and 5 units of product B
25 units of product A and 5 units of product B
A concert venue has two types of seating: regular seats and VIP seats. Regular seats are sold for $50 and VIP seats for $100. If the venue sold a total of 200 seats for $12,000, how many of each type of seat were sold? Set up the system and solve using matrices.
180 regular seats and 20 VIP seats
100 regular seats and 100 VIP seats
160 regular seats and 40 VIP seats
150 regular seats and 50 VIP seats
A bakery makes two types of cakes: chocolate and vanilla. Each chocolate cake requires 2 eggs and 1 cup of sugar, while each vanilla cake requires 1 egg and 2 cups of sugar. If the bakery has 100 eggs and 80 cups of sugar, how many of each type of cake can they make? Use matrices to find the solution.
50 chocolate cakes and 10 vanilla cakes
20 chocolate cakes and 40 vanilla cakes
30 chocolate cakes and 50 vanilla cakes
40 chocolate cakes and 20 vanilla cakes
A car rental company has two types of cars: sedans and SUVs. Sedans rent for $40 per day and SUVs for $60 per day. If the company rented a total of 50 cars for $2,800, how many of each type were rented? Solve the system using matrices.
10 sedans and 40 SUVs
5 sedans and 45 SUVs
15 sedans and 35 SUVs
20 sedans and 30 SUVs
A gym offers two types of memberships: basic and premium. A basic membership costs $30 per month and a premium membership costs $50 per month. If the gym has 200 members and collects $8,000 in membership fees, how many basic and premium memberships are there? Use matrices to solve the problem.
100 basic memberships and 100 premium memberships.
200 basic memberships and 0 premium memberships.
50 basic memberships and 150 premium memberships.
150 basic memberships and 50 premium memberships.
A bookstore sells two types of books: fiction and non-fiction. Fiction books are priced at $12 and non-fiction at $15. If the bookstore sold a total of 150 books for $1,800, how many of each type were sold? Set up and solve the system using matrices.
Fiction: 90, Non-Fiction: 60
Fiction: 80, Non-Fiction: 70
Fiction: 100, Non-Fiction: 50
Fiction: 60, Non-Fiction: 90
A factory produces two types of gadgets: Type X and Type Y. Type X requires 3 hours of machine time and Type Y requires 2 hours. If the factory has 120 hours of machine time available and produces a total of 40 gadgets, how many of each type can be produced? Use matrices to find the solution.
10 Type X gadgets and 30 Type Y gadgets
25 Type X gadgets and 15 Type Y gadgets
30 Type X gadgets and 10 Type Y gadgets
20 Type X gadgets and 20 Type Y gadgets
A clothing store sells two types of shirts: t-shirts and dress shirts. T-shirts are sold for $20 and dress shirts for $35. If the store sold a total of 100 shirts for $2,500, how many of each type were sold? Set up the system and solve using matrices.
80 t-shirts and 20 dress shirts
70 t-shirts and 30 dress shirts
60 t-shirts and 40 dress shirts
75 t-shirts and 25 dress shirts
