Mastering Systems of Equations: Real-World Problems

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?

• 20 adult tickets and 30 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 concert. Maria has $20 more than John. If together they have $120, how much money does each person have?

• John has $50 and Maria has $70.

• John has $60 and Maria has $80.

• John has $40 and Maria has $60.

• John has $30 and Maria has $50.

A farmer has chickens and cows. If there are 30 animals in total and the total number of legs is 100, how many chickens and cows does the farmer have?

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 15 chickens and 15 cows

• 5 chickens and 25 cows

Two friends are jogging. One jogs at a speed of 4 miles per hour and the other at 6 miles per hour. If they start at the same point and the faster friend is 2 miles ahead after some time, how long did they jog?

• 1 hour

• 30 minutes

• 2 hours

• 1.5 hours

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 $7.00, how many pencils and erasers did the student buy?

• 10 pencils and 2 erasers

• 8 pencils and 4 erasers

• 12 pencils and 0 erasers

• 6 pencils and 6 erasers

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 $30 plus $0.20 per mile driven. If a customer paid $50, how many miles did they drive?

• 120 miles

• 100 miles

• 50 miles

• 75 miles

A local bakery sells muffins and cookies. If they sold 80 items in total and made $200, with muffins priced at $2 each and cookies at $1.50 each, how many muffins and cookies were sold?

• 20 muffins and 60 cookies

• 40 muffins and 40 cookies

• 30 muffins and 50 cookies

• 50 muffins and 30 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 $3000, with regular seats priced at $10 and VIP seats at $20, how many of each type of seat were sold?

• 200 regular seats and 0 VIP seats

• 100 regular seats and 100 VIP seats

• 150 regular seats and 50 VIP seats

• 50 regular seats and 150 VIP seats

A gardener is planting flowers and shrubs. If the total number of plants is 50 and the number of flowers is twice the number of shrubs, how many flowers and shrubs are there?

• 30 flowers and 20 shrubs

• 25 flowers and 25 shrubs

• 40 flowers and 10 shrubs

• 32 flowers and 16 shrubs