Solving Real-World Systems of Equations in 8th Grade

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 50 tickets for $400, how many adult and student tickets were sold?

• 35 adult tickets and 15 student tickets

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

A farmer has chickens and cows. If there are 20 animals in total and they have 56 legs, how many chickens and cows does the farmer have?

• 12 chickens and 8 cows

• 5 chickens and 15 cows

• 15 chickens and 5 cows

• 10 chickens and 10 cows

Two friends are saving money for a concert. One saves $5 a week and the other saves $10 a week. If they want to save a total of $100 together, how many weeks will it take for both to reach their goal?

• 7 weeks

• 5 weeks

• 10 weeks

• 12 weeks

A store sells pencils for $2 each and erasers for $3 each. If a student buys a total of 15 items and spends $36, how many pencils and erasers did the student buy?

• 8 pencils and 7 erasers

• 10 pencils and 5 erasers

• 7 pencils and 8 erasers

• 9 pencils and 6 erasers

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

• 120 miles

• 100 miles

• 50 miles

• 75 miles

In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many boys and girls are in the class?

• 20 boys and 5 girls

• 12 boys and 13 girls

• 15 boys and 10 girls

• 10 boys and 15 girls

A bakery sells muffins for $1.50 each and cookies for $2.00 each. If a customer buys a total of 10 items and spends $17, how many muffins and cookies did they buy?

• 4 muffins and 6 cookies

• 5 muffins and 5 cookies

• 7 muffins and 3 cookies

• 6 muffins and 4 cookies

A concert hall has two types of seating: regular seats for $25 and VIP seats for $50. If 200 seats were sold for a total of $8000, how many regular and VIP seats were sold?

• 50 regular seats and 150 VIP seats

• 80 regular seats and 120 VIP seats

• 90 regular seats and 110 VIP seats

• 100 regular seats and 100 VIP seats

A local gym offers two membership plans. Plan A costs $30 per month and Plan B costs $50 per month. If 100 members signed up and the total revenue was $4000, how many members chose each plan?

• 80 members chose Plan A and 20 members chose Plan B.

• 60 members chose Plan A and 40 members chose Plan B.

• 50 members chose Plan A and 50 members chose Plan B.

• 70 members chose Plan A and 30 members chose Plan B.

A bookstore sells novels for $12 and textbooks for $20. If a customer buys a total of 8 books and spends $136, how many novels and textbooks did they buy?

• 5 novels and 3 textbooks

• 4 novels and 4 textbooks

• 3 novels and 5 textbooks

• 2 novels and 6 textbooks