Solving Real-World Problems with Systems of Equations

A farmer has two types of crops: corn and wheat. He can plant a total of 100 acres. If he plants 3 acres of corn for every 2 acres of wheat, how many acres of each crop does he plant?

• 70 acres of corn and 30 acres of wheat

• 80 acres of corn and 20 acres of wheat

• 50 acres of corn and 50 acres of wheat

• 60 acres of corn and 40 acres of wheat

A school is organizing a field trip. The cost for each student is $15, and the total cost for 30 students is $450. If the school also needs to pay a $150 bus fee, how many students can they take if they want to keep the total cost under $600?

• 30

• 25

• 40

• 35

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 each week, while Jamie saves $8 each week. If they both start with $20, how many weeks will it take for their savings to be equal?

• 0 weeks

• 1 week

• 3 weeks

• 2 weeks

A bookstore sells fiction and non-fiction books. The total number of books is 120. If the number of fiction books is twice the number of non-fiction books, how many of each type of book does the bookstore have?

• Fiction: 80, Non-Fiction: 40

• Fiction: 100, Non-Fiction: 20

• Fiction: 40, Non-Fiction: 80

• Fiction: 60, Non-Fiction: 60

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer has a budget of $100, how many miles can they drive without exceeding their budget?

• 250 miles

• 200 miles

• 300 miles

• 150 miles

A local gym offers two membership plans. Plan A costs $30 per month, and Plan B costs $20 per month plus a one-time fee of $50. If a customer wants to spend no more than $200, how many months can they afford each plan?

• Plan A: 7 months, Plan B: 8 months

• Plan A: 4 months, Plan B: 5 months

• Plan A: 6 months, Plan B: 7 months

• Plan A: 5 months, Plan B: 6 months

In a class, the ratio of boys to girls is 3:2. If there are 30 students in total, how many boys and girls are in the class?

• 20 boys and 10 girls

• 15 boys and 15 girls

• 12 boys and 18 girls

• 18 boys and 12 girls

A company produces two types of gadgets. Type A costs $10 to produce, and Type B costs $15. If the company has a budget of $300 and wants to produce a total of 25 gadgets, how many of each type can they produce?

• 20 Type A gadgets and 5 Type B gadgets

• 10 Type A gadgets and 15 Type B gadgets

• 15 Type A gadgets and 10 Type B gadgets

• 5 Type A gadgets and 20 Type B gadgets

A concert hall has two types of seating: regular and VIP. Regular seats cost $50 each, and VIP seats cost $100 each. If the hall sells a total of 200 tickets for $12,000, how many of each type of ticket were sold?

• 100 regular tickets and 100 VIP tickets

• 180 regular tickets and 20 VIP tickets

• 160 regular tickets and 40 VIP tickets

• 150 regular tickets and 50 VIP tickets

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 sold a total of 50 pizzas for $480, how many of each size did they sell?

• 25 small pizzas and 25 large pizzas

• 40 small pizzas and 10 large pizzas

• 15 small pizzas and 35 large pizzas

• 30 small pizzas and 20 large pizzas