Real-World Systems of Equations: Interpret & Check Solutions

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 of each type of ticket did they sell?

• 80 adult tickets and 70 student tickets

• 60 adult tickets and 90 student tickets

• 100 adult tickets and 50 student tickets

• 90 adult tickets and 60 student tickets

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

• 12 chickens and 8 cows

• 15 chickens and 5 cows

• 5 chickens and 15 cows

• 10 chickens and 10 cows

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 a week and Jamie saves $8 a week. If they want to save a total of $100 together, how many weeks will it take for them to reach their goal?

• 6 weeks

• 8 weeks

• 10 weeks

• 12 weeks

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 30 items and spends $20, how many pencils and erasers did the student buy?

• 25 pencils and 5 erasers

• 15 pencils and 15 erasers

• 20 pencils and 10 erasers

• 10 pencils and 20 erasers

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

• 20 boys and 5 girls

• 12 boys and 13 girls

• 10 boys and 15 girls

• 15 boys and 10 girls

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

A bakery sells muffins for $2 each and cookies for $1 each. If a customer buys a total of 15 items and spends $24, how many muffins and cookies did they buy?

• 9 muffins and 6 cookies

• 8 muffins and 7 cookies

• 7 muffins and 8 cookies

• 10 muffins and 5 cookies

A concert hall has two types of seating: regular seats and VIP seats. Regular seats cost $50 and VIP seats cost $100. If 200 seats were sold for a total of $12,000, how many of each type of seat were sold?

• 100 regular seats and 100 VIP seats

• 150 regular seats and 50 VIP seats

• 180 regular seats and 20 VIP seats

• 160 regular seats and 40 VIP seats

A gardener is planting flowers and shrubs. If the total number of plants is 40 and the number of flowers is twice the number of shrubs, how many flowers and how many shrubs are there?

• 15 flowers and 25 shrubs

• 10 flowers and 30 shrubs

• 30 flowers and 5 shrubs

• 20 flowers and 10 shrubs

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 10 items and spends $70, how many novels and magazines did they buy?

• 1 novel and 9 magazines

• 2 novels and 8 magazines

• 5 novels and 5 magazines

• 3 novels and 7 magazines