Solving Real-World Systems of Equations: Grade 8 Challenge

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?

• 25 adult tickets and 25 student tickets

• 20 adult tickets and 30 student tickets

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

Maria and John are saving money for a video game. Maria has $20 and saves $5 each week, while John has $10 and saves $10 each week. In how many weeks will they have the same amount of money?

• 3 weeks

• 2 weeks

• 4 weeks

• 1 week

A farmer has chickens and cows. If there are 30 animals in total and there are 80 legs, how many chickens and cows does the farmer have?

• 15 chickens and 15 cows

• 25 chickens and 5 cows

• 10 chickens and 20 cows

• 20 chickens and 10 cows

Two friends are running a lemonade stand. They sell regular lemonade for $2 and strawberry lemonade for $3. If they made $50 from selling 25 cups of lemonade, how many cups of each type did they sell?

• 5 regular lemonade, 20 strawberry lemonade

• 10 regular lemonade, 15 strawberry lemonade

• 8 regular lemonade, 17 strawberry lemonade

• 12 regular lemonade, 13 strawberry lemonade

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?

• 50 miles

• 75 miles

• 100 miles

• 120 miles

In a school, the number of boys is twice the number of girls. If there are 60 students in total, how many boys and girls are there?

• 30 boys and 30 girls

• 50 boys and 10 girls

• 40 boys and 20 girls

• 25 boys and 35 girls

A concert hall has two types of tickets: VIP tickets for $100 and regular tickets for $50. If they sold 200 tickets and made $12,000, how many VIP and regular tickets were sold?

• 30 VIP tickets and 170 regular tickets

• 40 VIP tickets and 160 regular tickets

• 20 VIP tickets and 180 regular tickets

• 50 VIP tickets and 150 regular tickets

A store sells pencils for $1 each and erasers for $0.50 each. If a student bought a total of 20 items and spent $15, how many pencils and erasers did they buy?

• 10 pencils and 10 erasers

• 12 pencils and 8 erasers

• 15 pencils and 5 erasers

• 5 pencils and 15 erasers

A local bakery sells muffins for $2 each and cookies for $1 each. If they sold a total of 100 items for $150, how many muffins and cookies did they sell?

• 30 muffins and 70 cookies

• 60 muffins and 40 cookies

• 40 muffins and 60 cookies

• 50 muffins and 50 cookies

A gym has two types of memberships: monthly for $30 and yearly for $300. If they have 100 members and made $2,700 in total, how many monthly and yearly memberships are there?

• 100 monthly memberships and 0 yearly memberships

• 70 monthly memberships and 30 yearly memberships

• 80 monthly memberships and 20 yearly memberships

• 90 monthly memberships and 10 yearly memberships