Solving Real-World Systems of Equations for Grade 8

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?

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

• 20 adult tickets and 30 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 $15 a week and the other saves $10 a week. If together they want to save $200, how many weeks will it take for them to reach their goal?

• 6 weeks

• 12 weeks

• 8 weeks

• 10 weeks

A bookstore sells fiction and non-fiction books. If the total number of books sold is 80 and the total revenue is $600, with fiction books priced at $10 and non-fiction at $15, how many of each type of book were sold?

• 50 fiction books and 30 non-fiction books

• 30 fiction books and 50 non-fiction books

• 40 fiction books and 40 non-fiction books

• 20 fiction books and 60 non-fiction books

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

• 50 miles

• 75 miles

• 100 miles

• 120 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?

• 10 boys and 15 girls

• 15 boys and 10 girls

• 12 boys and 13 girls

• 20 boys and 5 girls

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: 8 months, Plan B: 10 months

• Plan A: 5 months, Plan B: 7 months

• Plan A: 6 months, Plan B: 8 months

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

A concert hall has two types of seating: regular and VIP. Regular seats cost $50 and VIP seats cost $100. If the total revenue from 200 seats sold is $12,000, how many regular and VIP seats were sold?

• 150 regular seats and 50 VIP seats

• 100 regular seats and 100 VIP seats

• 160 regular seats and 40 VIP seats

• 180 regular seats and 20 VIP seats

A bakery sells two types of pastries: muffins and croissants. If they sold a total of 120 pastries and made $240, with muffins priced at $2 each and croissants at $3 each, how many of each type were sold?

• 30 muffins and 90 croissants

• 60 muffins and 60 croissants

• 40 muffins and 80 croissants

• 90 muffins and 30 croissants

A charity event sold tickets for $25 each and received a total of $1,000 from ticket sales. If they sold 10 more student tickets at $15 each, how many adult tickets were sold?

• 34

• 30

• 25

• 40