Solving Linear Equations: Real-Life Ticket Problems

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If the school sells a total of 150 tickets for $1,200, how many adult and student tickets were sold?

• 90 adult tickets and 60 student tickets

• 100 adult tickets and 50 student tickets

• 80 adult tickets and 70 student tickets

• 60 adult tickets and 90 student tickets

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer pays $50, how many miles did they drive?

• 50 miles

• 100 miles

• 120 miles

• 75 miles

Two friends are saving money to buy a video game. Friend A saves $5 each week, while Friend B saves $3 each week. If they want to save a total of $50 together, how many weeks will it take for them to reach their goal?

• 5 weeks

• 8 weeks

• 10 weeks

• 7 weeks

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

• 12 chickens and 8 cows

• 10 chickens and 10 cows

• 5 chickens and 15 cows

• 15 chickens and 5 cows

A store sells pencils for $2 each and erasers for $1 each. If a customer buys a total of 10 items and spends $16, 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

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 customer wants to spend no more than $200, how many months can they afford each plan?

• Plan A: 5 months, Plan B: 6 months

• Plan A: 4 months, Plan B: 5 months

• Plan A: 7 months, Plan B: 8 months

• Plan A: 6 months, Plan B: 7 months

A concert venue has two types of seating: regular seats for $25 and VIP seats for $50. If the venue sells 200 tickets and makes $7,500, how many regular and VIP tickets were sold?

• 200 VIP tickets were sold and no regular tickets were sold.

• 100 regular tickets and 100 VIP tickets were sold.

• 100 regular tickets and 50 VIP tickets were sold.

• 150 regular tickets and 50 VIP tickets were sold.

A bakery sells muffins for $3 each and cookies for $2 each. If a customer buys a total of 15 items and spends $36, how many muffins and cookies did they buy?

• 6 muffins and 9 cookies

• 4 muffins and 11 cookies

• 7 muffins and 8 cookies

• 5 muffins and 10 cookies

A delivery service charges a base fee of $15 plus $2 per mile. If a customer pays $27 for a delivery, how many miles was the delivery?

• 6 miles

• 4 miles

• 8 miles

• 10 miles

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 8 items and spends $66, how many novels and magazines did they buy?

• 4 novels and 4 magazines

• 3 novels and 5 magazines

• 5 novels and 3 magazines

• 2 novels and 6 magazines