Real-Life Linear Equations: Solve Word Problems

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write a linear equation in standard form to represent the total cost (C) of renting a car for x miles. How much would it cost to drive 150 miles?

• $90

• $75

• $45

• $60

A school is selling tickets for a play. Adult tickets cost $10 each and student tickets cost $5 each. If the school sells a total of 200 tickets and collects $1,500, write a system of equations to represent the situation and find the number of adult and student tickets sold.

• 100 adult tickets and 100 student tickets

• 50 adult tickets and 150 student tickets

• 200 adult tickets and 0 student tickets

• 150 adult tickets and 50 student tickets

A gardener is planting flowers in two types of beds. Each rectangular bed can hold 3 rose bushes or 5 tulip plants. If the gardener has 12 rose bushes and 15 tulip plants, write a linear equation in standard form to represent the relationship between the number of beds (b) and the total number of plants. How many beds are needed?

• 3

• 6

• 4

• 5

A bookstore sells novels for $12 each and textbooks for $25 each. If a customer buys a total of 10 books and spends $200, write a system of equations to find how many novels and textbooks were purchased.

• x = 3, y = 7

• x = 4, y = 6

• x = 5, y = 5

• x = 6, y = 4

A factory produces two types of toys: action figures and dolls. Each action figure costs $4 to produce and each doll costs $6. If the factory has a budget of $240 and wants to produce a total of 50 toys, write a linear equation in standard form to represent the situation and determine how many of each type of toy can be produced.

• 40 action figures and 10 dolls

• 30 action figures and 20 dolls

• 20 action figures and 30 dolls

• 25 action figures and 25 dolls

A local gym charges a monthly membership fee of $40 plus $5 for each class attended. Write a linear equation in standard form to represent the total cost (C) for x classes attended. If a member attends 8 classes, what is the total cost?

• $100

• $80

• $60

• $40

A farmer has a total of 100 animals consisting of chickens and cows. If there are 3 times as many chickens as cows, write a system of equations to represent the situation and find the number of chickens and cows on the farm.

• Cows: 25, Chickens: 75

• Cows: 20, Chickens: 80

• Cows: 50, Chickens: 50

• Cows: 30, Chickens: 70

A concert venue has a seating capacity of 500. If tickets are sold for $20 each and VIP tickets for $50 each, and the total revenue from ticket sales is $15,000, write a system of equations to find the number of regular and VIP tickets sold.

• x + y = 600; 20x + 50y = 12000

• x + y = 400; 20x + 50y = 18000

• x + y = 500; 20x + 50y = 15000

• x + y = 500; 20x + 50y = 10000

A pizza shop sells two sizes of pizzas: small and large. A small pizza costs $8 and a large pizza costs $12. If the shop sells a total of 40 pizzas for $400, write a system of equations to determine how many small and large pizzas were sold.

• The system of equations is: x + y = 40 and 8x + 12y = 400.

• x + y = 30 and 8x + 10y = 400

• x + y = 40 and 10x + 12y = 400

• x + y = 50 and 8x + 12y = 300

A charity event is selling two types of raffle tickets: regular tickets for $5 and premium tickets for $10. If they sold a total of 300 tickets and raised $2,000, write a system of equations to find the number of regular and premium tickets sold.

• Regular tickets sold: 150, Premium tickets sold: 150

• Regular tickets sold: 200, Premium tickets sold: 100

• Regular tickets sold: 250, Premium tickets sold: 50

• Regular tickets sold: 100, Premium tickets sold: 200