Solving Real-World Systems of Equations for Grade 8

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

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 student tickets

• 15 adult tickets and 35 student tickets

• 25 adult tickets and 25 student tickets

Maria and John are saving money for a new bike. Maria has $20 and saves $5 each week, while John has $10 and saves $10 each week. In how many weeks will they have the same amount of money?

• 3 weeks

• 1 week

• 2 weeks

• 4 weeks

A farmer has chickens and cows. If there are 30 animals in total and there are 80 legs, how many chickens and cows does the farmer have?

• 10 chickens and 20 cows

• 15 chickens and 15 cows

• 20 chickens and 10 cows

• 25 chickens and 5 cows

A bookstore sells fiction and non-fiction books. If the total number of books sold is 120 and the total revenue is $1,200, with fiction books priced at $15 and non-fiction at $10, how many of each type of book were sold?

• 60 fiction books and 60 non-fiction books

• 30 fiction books and 90 non-fiction books

• 100 fiction books and 20 non-fiction books

• 0 fiction books and 120 non-fiction books

Two friends, Alex and Jamie, are collecting stickers. Alex has 10 stickers and collects 3 more each week, while Jamie has 5 stickers and collects 5 more each week. After how many weeks will they have the same number of stickers?

• 3 weeks

• 2 weeks

• 4 weeks

• 1 week

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70, how many miles did they drive?

• 100 miles

• 200 miles

• 150 miles

• 50 miles

In a school, the ratio of boys to girls is 3:2. If there are 50 students in total, how many boys and girls are there?

• 25 boys and 25 girls

• 40 boys and 10 girls

• 30 boys and 20 girls

• 15 boys and 35 girls

A concert hall has two types of tickets: VIP tickets for $100 and regular tickets for $50. If 200 tickets were sold for a total of $10,000, how many VIP and regular tickets were sold?

• 0 VIP tickets and 200 regular tickets

• 100 VIP tickets and 100 regular tickets

• 200 VIP tickets and 0 regular tickets

• 50 VIP tickets and 150 regular tickets

A local gym offers two membership plans. Plan A costs $30 per month and Plan B costs $20 per month with a one-time fee of $60. If a customer paid $120, which plan did they choose and how many months did they sign up for?

• Plan B for 5 months

• Plan A for 3 months

• Plan B for 4 months

• Plan A for 4 months

A bakery sells two types of pastries: muffins and croissants. If they sold a total of 80 pastries and made $240, with muffins priced at $3 each and croissants at $2 each, how many muffins and croissants were sold?

• 50 muffins and 30 croissants

• 60 muffins and 20 croissants

• 70 muffins and 10 croissants

• 80 muffins and 0 croissants