Real-Life Systems of Equations: Solve and Graph

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Another company charges a flat fee of $20 plus $0.25 per mile. How many miles must you drive for the costs to be the same?

• 150 miles

• 250 miles

• 100 miles

• 200 miles

A school is selling tickets for a play. Adult tickets cost $10 each and student tickets cost $5 each. If the school wants to raise $300, how many of each type of ticket must they sell if they sell a total of 40 tickets?

• 10 adult tickets and 30 student tickets

• 20 adult tickets and 20 student tickets

• 30 adult tickets and 10 student tickets

• 25 adult tickets and 15 student tickets

Two friends are saving money for a concert. Friend A saves $15 a week, while Friend B saves $10 a week but starts with $20. How many weeks will it take for them to have the same amount saved?

• 4 weeks

• 3 weeks

• 5 weeks

• 6 weeks

A store sells two types of shirts: plain shirts for $15 each and graphic shirts for $20 each. If a customer buys a total of 10 shirts and spends $150, how many of each type of shirt did they buy?

• 0 plain shirts and 10 graphic shirts

• 8 plain shirts and 2 graphic shirts

• 10 plain shirts and 0 graphic shirts

• 5 plain shirts and 5 graphic shirts

A gardener is planting flowers in two different sections of a garden. Section A has 3 times as many flowers as Section B. If the total number of flowers is 40, how many flowers are in each section?

• Section A: 30 flowers, Section B: 10 flowers

• Section A: 20 flowers, Section B: 20 flowers

• Section A: 25 flowers, Section B: 15 flowers

• Section A: 35 flowers, Section B: 5 flowers

A delivery service charges a base fee of $5 plus $2 per mile. Another service charges a base fee of $3 plus $3 per mile. How far do you need to travel for the costs to be the same?

• 2 miles

• 3 miles

• 1 mile

• 4 miles

A local gym offers two membership plans. Plan A costs $25 per month with a one-time fee of $50, while Plan B costs $15 per month with a one-time fee of $100. After how many months will the costs of both plans be equal?

• 5 months

• 3 months

• 7 months

• 10 months

A bookstore sells novels for $12 each and textbooks for $20 each. If a customer buys a total of 15 books and spends $240, how many novels and textbooks did they buy?

• 7 novels and 8 textbooks

• 5 novels and 10 textbooks

• 6 novels and 9 textbooks

• 10 novels and 5 textbooks

A farmer has two types of crops: corn and wheat. He plants 3 times as much corn as wheat. If he plants a total of 120 acres, how many acres of each crop does he plant?

• 40 acres of wheat and 80 acres of corn

• 20 acres of wheat and 100 acres of corn

• 60 acres of wheat and 60 acres of corn

• 30 acres of wheat and 90 acres of corn

A pizza shop sells small pizzas for $8 and large pizzas for $12. If a customer buys a total of 10 pizzas and spends $88, how many small and large pizzas did they buy?

• 10 large pizzas and 0 small pizzas

• 6 small pizzas and 4 large pizzas

• 5 small pizzas and 5 large pizzas

• 8 small pizzas and 2 large pizzas