Real-Life Systems of Equations: Solve and Interpret

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?

• 80 adult tickets and 70 student tickets

• 100 adult tickets and 50 student tickets

• 60 adult tickets and 90 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 cows does the farmer have?

• 10 chickens and 10 cows

• 15 chickens and 5 cows

• 5 chickens and 15 cows

• 12 chickens and 8 cows

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

• 6 weeks

• 10 weeks

• 12 weeks

• 8 weeks

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 12 items and spends $7.50, how many pencils and erasers did the student buy?

• 9 pencils and 3 erasers

• 8 pencils and 4 erasers

• 6 pencils and 6 erasers

• 10 pencils and 2 erasers

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?

• 120 miles

• 50 miles

• 75 miles

• 100 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?

• 12 boys and 13 girls

• 20 boys and 5 girls

• 10 boys and 15 girls

• 15 boys and 10 girls

A bakery sells muffins for $2 each and cookies for $1.50 each. If a customer buys a total of 10 items and spends $15, how many muffins and cookies did they buy?

• 10 muffins and 0 cookies

• 5 muffins and 5 cookies

• 0 muffins and 10 cookies

• 3 muffins and 7 cookies

A concert hall has two types of seating: regular seats and VIP seats. If the total number of seats is 200 and the total revenue from ticket sales is $3,000, with regular seats priced at $15 and VIP seats at $30, how many of each type of seat were sold?

• 150 regular seats and 50 VIP seats

• 0 regular seats and 200 VIP seats

• 100 regular seats and 100 VIP seats

• 200 regular seats and 0 VIP seats

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 8 items and spends $70, how many novels and magazines did they buy?

• 2 novels and 6 magazines

• 4 novels and 4 magazines

• 6 novels and 2 magazines

• 5 novels and 3 magazines

A gardener is planting flowers and shrubs. If the total number of plants is 30 and the total cost is $150, with flowers costing $3 each and shrubs costing $5 each, how many flowers and shrubs did the gardener plant?

• 15 flowers and 15 shrubs

• 5 flowers and 25 shrubs

• 0 flowers and 30 shrubs

• 10 flowers and 20 shrubs