Real-World Problems: Solve Linear Equations in Context

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

• 80 adult tickets and 70 student tickets

• 100 adult tickets and 50 student tickets

• 60 adult tickets and 90 student tickets

• 90 adult tickets and 60 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?

• 12 chickens and 8 cows

• 10 chickens and 10 cows

• 15 chickens and 5 cows

• 5 chickens and 15 cows

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $15 a week, while Jamie saves $10 a week. If they want to save a total of $300 together, how many weeks will it take for them to reach their goal?

• 15 weeks

• 20 weeks

• 10 weeks

• 12 weeks

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

• 7 pencils and 3 erasers

• 5 pencils and 5 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?

• 10 boys and 15 girls

• 15 boys and 10 girls

• 20 boys and 5 girls

• 12 boys and 13 girls

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70 for their rental, how many miles did they drive?

• 100 miles

• 50 miles

• 200 miles

• 150 miles

A local bakery sells muffins for $3 each and cookies for $2 each. If a customer buys a total of 12 items and spends $30, how many muffins and cookies did they buy?

• 8 muffins and 4 cookies

• 4 muffins and 8 cookies

• 10 muffins and 2 cookies

• 6 muffins and 6 cookies

Two types of fruit are being sold at a market: apples and oranges. If apples cost $1 each and oranges cost $0.50 each, and a customer buys a total of 20 fruits for $12, how many apples and oranges did they buy?

• 10 apples and 10 oranges

• 8 apples and 12 oranges

• 5 apples and 15 oranges

• 12 apples and 8 oranges

A 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 a total of $230, how many months can they afford each plan?

• Plan A: 5 months, Plan B: 10 months

• Plan A: 4 months, Plan B: 7 months

• Plan A: 7 months, Plan B: 9 months

• Plan A: 6 months, Plan B: 8 months

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

• 4 novels and 4 textbooks

• 3 novels and 5 textbooks

• 1 novel and 7 textbooks

• 2 novels and 6 textbooks