Real-Life Matrix Addition and Subtraction Challenges

A bakery produces 3 types of cakes: chocolate, vanilla, and red velvet. The number of cakes produced in a week is represented by the matrix A = [[10, 15, 5]]. If the bakery increases production by 5 cakes of each type, what is the new production matrix B? Calculate B by adding the matrices.

• [[15, 20, 10]]

• [[10, 15, 5]]

• [[20, 25, 15]]

• [[5, 10, 0]]

A school has two classes, Class A and Class B. The number of students in each class is represented by the matrix C = [[25], [30]]. If 5 students from Class A transfer to Class B, what is the new matrix D representing the number of students in each class?

• [[25], [30]]

• [[30], [25]]

• [[20], [35]]

• [[20], [30]]

A store sells three types of products: electronics, clothing, and groceries. The sales for a week are represented by the matrix E = [[200, 150, 100]]. If the sales increase by 50 for electronics, 30 for clothing, and decrease by 20 for groceries, what is the new sales matrix F?

• [[300, 150, 100]]

• [[250, 180, 100]]

• [[250, 180, 80]]

• [[200, 150, 100]]

A car rental company has two types of cars: sedans and SUVs. The number of each type rented in a month is represented by the matrix G = [[40], [20]]. If the company rents out 10 more sedans and 5 fewer SUVs, what is the new rental matrix H?

• [[50], [20]]

• [[45], [25]]

• [[30], [15]]

• [[50], [15]]

A gym tracks the number of members who attend different classes: yoga, pilates, and spinning. The attendance is represented by the matrix I = [[12, 18, 10]]. If attendance increases by 3 for yoga and decreases by 2 for spinning, what is the new attendance matrix J?

• [[15, 18, 8]]

• [[12, 18, 10]]

• [[15, 16, 10]]

• [[12, 20, 8]]

A delivery service has two routes: Route 1 and Route 2. The number of packages delivered on each route is represented by the matrix K = [[150], [100]]. If 20 more packages are delivered on Route 1 and 10 fewer on Route 2, what is the new delivery matrix L?

• [[160], [100]]

• [[180], [90]]

• [[170], [90]]

• [[150], [80]]

A farmer grows three types of vegetables: carrots, potatoes, and tomatoes. The yield for a season is represented by the matrix M = [[300, 200, 150]]. If the yield increases by 50 for carrots and decreases by 30 for tomatoes, what is the new yield matrix N?

• [[300, 250, 150]]

• [[350, 200, 120]]

• [[350, 200, 150]]

• [[300, 200, 180]]

A library has two sections: fiction and non-fiction. The number of books in each section is represented by the matrix O = [[500], [300]]. If 50 new fiction books are added and 20 non-fiction books are removed, what is the new book count matrix P?

• [[500], [280]]

• [[550], [280]]

• [[550], [300]]

• [[500], [300]]

A factory produces two products: widgets and gadgets. The production numbers are represented by the matrix Q = [[100], [150]]. If production increases by 20 widgets and decreases by 10 gadgets, what is the new production matrix R?

• [[120], [140]]

• [[130], [130]]

• [[110], [160]]

• [[100], [150]]

A school cafeteria serves three meals: breakfast, lunch, and dinner. The number of meals served in a day is represented by the matrix S = [[100], [200], [150]]. If breakfast servings increase by 20 and dinner servings decrease by 10, what is the new meal serving matrix T?

• [[120], [200], [140]]

• [[120], [190], [150]]

• [[100], [210], [150]]

• [[130], [200], [130]]