Solving Real-Life Systems of Equations: Grade 8 Challenge

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 150 tickets for $1,200, how many adult and student tickets were sold?

• 80 adult tickets and 70 student tickets

• 60 adult tickets and 90 student tickets

• 100 adult tickets and 50 student tickets

• 90 adult tickets and 60 student tickets

A farmer has chickens and cows. The total number of animals is 50, and the total number of legs is 140. How many chickens and cows does the farmer have?

• 15 chickens and 35 cows

• 25 chickens and 25 cows

• 40 chickens and 10 cows

• 30 chickens and 20 cows

Two friends are saving money for a concert. One saves $15 a week and the other saves $10 a week. If they want to save a total of $300 together, how many weeks will it take for them to reach their goal?

• 20 weeks

• 15 weeks

• 10 weeks

• 12 weeks

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50, how many miles did they drive?

• 100 miles

• 120 miles

• 75 miles

• 50 miles

A store sells pencils for $0.50 each and erasers for $1.00 each. If a customer bought a total of 20 items for $15, how many pencils and erasers did they buy?

• 15 pencils and 5 erasers

• 12 pencils and 8 erasers

• 10 pencils and 10 erasers

• 5 pencils and 15 erasers

A local gym offers two membership plans. Plan A costs $25 per month and Plan B costs $15 per month plus a one-time fee of $50. If a customer wants to spend $200, how many months can they afford each plan?

• Plan A: 5 months, Plan B: 7 months

• Plan A: 10 months, Plan B: 12 months

• Plan A: 8 months, Plan B: 10 months

• Plan A: 6 months, Plan B: 8 months

A bakery sells loaves of bread for $3 each and muffins for $2 each. If they sold a total of 100 items for $240, how many loaves of bread and muffins were sold?

• 40 loaves of bread and 60 muffins

• 20 loaves of bread and 80 muffins

• 50 loaves of bread and 50 muffins

• 30 loaves of bread and 70 muffins

A concert hall has two types of seating: regular seats for $20 and VIP seats for $50. If they sold 200 seats and made $6,000, how many regular and VIP seats were sold?

• 100 regular seats and 100 VIP seats were sold.

• 200 regular seats and 0 VIP seats were sold.

• 80 regular seats and 120 VIP seats were sold.

• 150 regular seats and 50 VIP seats were sold.

A bookstore sells novels for $12 and textbooks for $25. If a customer bought a total of 10 books for $180, how many novels and textbooks did they buy?

• 5 novels and 5 textbooks

• 6 novels and 4 textbooks

• 2 novels and 8 textbooks

• 3 novels and 7 textbooks

A charity event sold tickets for $8 each and donations were collected totaling $400. If they sold 50 tickets, how much money was raised from ticket sales and donations combined?

• 500

• 700

• 600

• 800