Mastering Systems of Equations: Word Problems 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?

• 100 adult tickets and 50 student tickets

• 60 adult tickets and 90 student tickets

• 80 adult tickets and 70 student tickets

• 90 adult tickets and 60 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 $300 together, how many weeks will it take for them to reach their goal?

• 10 weeks

• 20 weeks

• 15 weeks

• 12 weeks

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

• 15 chickens and 5 cows

• 10 chickens and 10 cows

• 5 chickens and 15 cows

Two friends, Alex and Sam, are collecting baseball cards. Alex has 3 times as many cards as Sam. If together they have 80 cards, how many cards does each friend have?

• Alex has 60 cards and Sam has 20 cards.

• Alex has 70 cards and Sam has 10 cards.

• Alex has 40 cards and Sam has 40 cards.

• Alex has 50 cards and Sam has 30 cards.

A bookstore sells fiction and non-fiction books. If the total number of books sold is 200 and the total revenue is $1,500, with fiction books priced at $10 and non-fiction at $15, how many of each type of book were sold?

• 200 fiction books and 0 non-fiction books

• 100 fiction books and 100 non-fiction books

• 150 fiction books and 50 non-fiction books

• 50 fiction books and 150 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?

• 12 boys and 13 girls

• 20 boys and 5 girls

• 10 boys and 15 girls

• 15 boys and 10 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?

• 200 miles

• 50 miles

• 100 miles

• 150 miles

A concert hall has two types of seating: regular and VIP. Regular seats cost $30 and VIP seats cost $50. If 100 tickets were sold for a total of $3,500, how many regular and VIP tickets were sold?

• 60 regular tickets and 40 VIP tickets were sold.

• 70 regular tickets and 30 VIP tickets were sold.

• 75 regular tickets and 25 VIP tickets were sold.

• 80 regular tickets and 20 VIP tickets were sold.

A bakery sells two types of pastries: muffins and croissants. If the total number of pastries sold is 120 and the total revenue is $600, with muffins priced at $3 and croissants at $5, how many of each type were sold?

• 0 muffins and 120 croissants

• 60 muffins and 60 croissants

• 100 muffins and 20 croissants

• 30 muffins and 90 croissants

In a school, the number of students in the basketball team is twice the number of students in the soccer team. If there are 36 students in total, how many students are on each team?

• Soccer team: 12 students, Basketball team: 24 students

• Soccer team: 24 students, Basketball team: 12 students

• Soccer team: 6 students, Basketball team: 30 students

• Soccer team: 18 students, Basketball team: 18 students