Real-Life 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?

• 30 adult tickets and 20 student tickets

• 20 adult tickets and 30 student tickets

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $15 each week, while Jamie saves $10 each week. If Alex has already saved $60 and they want to have a total of $200 together, how many weeks will it take for them to reach their goal?

• 4 weeks

• 6 weeks

• 8 weeks

• 10 weeks

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

• 5 chickens and 15 cows

• 12 chickens and 8 cows

• 10 chickens and 10 cows

• 15 chickens and 5 cows

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Another company charges a flat fee of $25 plus $0.25 per mile. How many miles must you drive for the costs to be the same?

• 120 miles

• 75 miles

• 100 miles

• 50 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

• 20 boys and 40 girls

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 20 items and spends $12.50, how many pencils and erasers did the student buy?

• 15 pencils and 5 erasers

• 10 pencils and 10 erasers

• 12 pencils and 8 erasers

• 5 pencils and 15 erasers

A local gym offers two membership plans. Plan A costs $30 per month, and Plan B costs $20 per month plus a one-time fee of $100. If a person wants to spend the same amount on both plans after 6 months, how much will they spend in total?

• $220

• $150

• $180

• $300

A movie theater has two types of seating: regular and VIP. Regular seats cost $8 each, and VIP seats cost $12 each. If the theater sold 100 tickets for a total of $960, how many regular and VIP tickets were sold?

• 60 regular tickets and 40 VIP tickets

• 80 regular tickets and 20 VIP tickets

• 50 regular tickets and 50 VIP tickets

• 70 regular tickets and 30 VIP tickets

A bakery sells muffins and cookies. Each muffin costs $2 and each cookie costs $1. If a customer buys a total of 30 items and spends $50, how many muffins and cookies did they buy?

• 20 muffins and 10 cookies

• 10 muffins and 20 cookies

• 25 muffins and 5 cookies

• 15 muffins and 15 cookies

A bookstore sells novels for $15 and textbooks for $25. If a customer buys a total of 10 books and spends $200, how many novels and textbooks did they purchase?

• 3 novels and 7 textbooks

• 4 novels and 6 textbooks

• 6 novels and 4 textbooks

• 5 novels and 5 textbooks