Graphing and Solving Real-Life Systems of Equations

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

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 student tickets

Maria and John are saving money for a new bike. Maria saves $15 a week, while John saves $10 a week. If they want to save a total of $150 together, how many weeks will it take for both of them to reach their goal?

• 5 weeks

• 8 weeks

• 6 weeks

• 7 weeks

A farmer has chickens and cows. If there are 20 animals in total and they have 60 legs, how many chickens and cows does the farmer have?

• 12 chickens and 8 cows

• 10 chickens and 10 cows

• 5 chickens and 15 cows

• 15 chickens and 5 cows

Two friends, Alex and Jamie, are collecting stickers. Alex has 3 times as many stickers as Jamie. Together, they have 80 stickers. How many stickers does each friend have?

• Alex has 70 stickers and Jamie has 10 stickers.

• Alex has 60 stickers and Jamie has 20 stickers.

• Alex has 40 stickers and Jamie has 40 stickers.

• Alex has 50 stickers and Jamie has 30 stickers.

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?

• 0 fiction books and 120 non-fiction books

• 100 fiction books and 20 non-fiction books

• 30 fiction books and 90 non-fiction books

• 60 fiction books and 60 non-fiction books

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

• 15 boys and 10 girls

• 10 boys and 15 girls

• 12 boys and 13 girls

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

• 150 miles

• 100 miles

• 200 miles

• 50 miles

A concert hall has two types of seating: regular and VIP. Regular seats cost $30 and VIP seats cost $50. If 200 tickets were sold for a total of $8,000, how many of each type of ticket were sold?

• 100 regular tickets and 100 VIP tickets were sold.

• 200 regular tickets and 0 VIP tickets were sold.

• 150 regular tickets and 50 VIP tickets were sold.

• 50 regular tickets and 150 VIP tickets were sold.

A local gym offers two membership plans. Plan A costs $25 per month and Plan B costs $40 per month. If 100 members signed up and the total revenue was $3,000, how many members chose each plan?

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

• 67 members chose Plan A and 33 members chose Plan B.

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

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

A bakery sells two types of pastries: muffins and croissants. Muffins cost $2 each and croissants cost $3 each. If the bakery sold 100 pastries for a total of $240, how many muffins and croissants were sold?

• 50 muffins and 50 croissants

• 70 muffins and 30 croissants

• 60 muffins and 40 croissants

• 80 muffins and 20 croissants