Real-Life Linear Equations: Solve and Graph Challenges

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

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 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 $15 a week and the other saves $10 a week. If together they want to save $150, how many weeks will it take them to reach their goal?

• 8 weeks

• 6 weeks

• 5 weeks

• 7 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?

• 120 miles

• 75 miles

• 50 miles

• 100 miles

A store sells pencils for $2 each and erasers for $3 each. If a customer bought a total of 10 items and spent $24, how many pencils and erasers did they buy?

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

• 6 pencils and 4 erasers

• 4 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?

• 12 boys and 13 girls

• 15 boys and 10 girls

• 20 boys and 5 girls

• 10 boys and 15 girls

A local gym offers two membership plans. Plan A costs $25 per month and Plan B costs $15 per month plus a one-time fee of $60. If a person wants to spend no more than $120, how many months can they afford each plan?

• 3 months for Plan A and 5 months for Plan B

• 4 months for both Plan A and Plan B

• 5 months for Plan A and 2 months for Plan B

• 6 months for both Plan A and Plan B

A bookstore sells novels for $12 and magazines for $5. 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

• 3 novels and 5 magazines

• 5 novels and 3 magazines

• 4 novels and 4 magazines

A pizza shop sells small pizzas for $8 and large pizzas for $12. If a customer buys a total of 5 pizzas and spends $52, how many small and large pizzas did they buy?

• 2 small pizzas and 3 large pizzas

• 1 small pizza and 4 large pizzas

• 3 small pizzas and 2 large pizzas

• 5 small pizzas and 0 large pizzas

A concert venue has two types of seating: regular seats for $50 and VIP seats for $100. If they sold a total of 200 seats for $12,000, how many regular and VIP seats were sold?

• 150 regular seats and 50 VIP seats

• 160 regular seats and 40 VIP seats

• 180 regular seats and 20 VIP seats

• 100 regular seats and 100 VIP seats