Solving Systems: Equations & Inequalities 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 of each type of ticket did they sell?

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 student tickets

• 35 adult tickets and 15 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?

• 10 chickens and 10 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows

• 5 chickens and 15 cows

A store sells pencils for $2 each and erasers for $3 each. If a student buys a total of 10 items and spends $24, how many pencils and erasers did the student buy?

• 4 pencils and 6 erasers

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

• 6 pencils and 4 erasers

Two friends are saving money for a concert. One saves $5 a week and the other 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?

• 12 weeks

• 8 weeks

• 10 weeks

• 6 weeks

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?

• 100 miles

• 50 miles

• 120 miles

• 75 miles

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?

• 12 boys and 13 girls

• 20 boys and 5 girls

• 15 boys and 10 girls

• 10 boys and 15 girls

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?

• 8 muffins and 7 cookies

• 9 muffins and 6 cookies

• 10 muffins and 5 cookies

• 7 muffins and 8 cookies

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 $50. If a person wants to spend no more than $200, how many months can they afford each plan?

• Plan A: 6 months, Plan B: 6 months

• Plan A: 4 months, Plan B: 8 months

• Plan A: 5 months, Plan B: 7 months

• Plan A: 10 months, Plan B: 3 months

A concert hall has a seating capacity of 500. If tickets are sold for $20 each and the total revenue from ticket sales is $8,000, how many tickets were sold?

• 300

• 400

• 450

• 500

A bookstore sells novels for $15 and textbooks for $25. If a customer buys a total of 8 books and spends $180, how many novels and textbooks did they buy?

• 2 novels and 6 textbooks

• 4 novels and 4 textbooks

• 1 novel and 7 textbooks

• 3 novels and 5 textbooks