Word Problems: Identifying Variables in Equations

A school is selling tickets for a play. Adult tickets cost $10 each and student tickets cost $5 each. If they sold a total of 150 tickets for $1,200, how many adult and student tickets were sold? Identify the variables and constants in this problem.

• 80 adult tickets and 70 student tickets were sold.

• 90 adult tickets and 60 student tickets were sold.

• 100 adult tickets and 50 student tickets were sold.

• 60 adult tickets and 90 student tickets were sold.

Maria and John are saving money for a new bike. Maria saves $15 each week, while John saves $10 each week. If they want to save a total of $300 together, how many weeks will it take for both of them to reach their goal? Define the variables and constants.

• 10 weeks

• 15 weeks

• 12 weeks

• 20 weeks

A farmer has chickens and cows. The total number of animals is 50, and there are 150 legs in total. How many chickens and cows does the farmer have? Identify the variables and constants in this scenario.

• 25 chickens and 25 cows

• 30 chickens and 20 cows

• 40 chickens and 10 cows

• 20 chickens and 30 cows

Two friends, Alex and Jamie, are collecting baseball cards. Alex has 3 times as many cards as Jamie. Together, they have 80 cards. How many cards does each friend have? Identify the variables and constants in this problem.

• Alex has 70 cards and Jamie has 10 cards.

• Alex has 50 cards and Jamie has 30 cards.

• Alex has 60 cards and Jamie has 20 cards.

• Alex has 40 cards and Jamie has 40 cards.

A car rental company charges a flat fee of $20 plus $0.50 per mile driven. If a customer paid $65 for their rental, how many miles did they drive? Identify the variables and constants in this scenario.

• 80 miles

• 90 miles

• 100 miles

• 70 miles

In a school, the ratio of boys to girls is 3:2. If there are 50 students in total, how many boys and girls are there? Identify the variables and constants in this problem.

• 40 boys and 10 girls

• 25 boys and 25 girls

• 35 boys and 15 girls

• There are 30 boys and 20 girls.

A bookstore sells fiction and non-fiction books. Fiction books cost $12 each, and non-fiction books cost $15 each. If a customer buys 10 books for a total of $130, how many of each type did they buy? Identify the variables and constants in this scenario.

• 8 fiction books and 2 non-fiction books

• 7 fiction books and 3 non-fiction books

• 6 fiction books and 4 non-fiction books

• 5 fiction books and 5 non-fiction books

A concert hall has two types of tickets: VIP tickets for $100 and regular tickets for $50. If 200 tickets were sold for a total of $10,000, how many VIP and regular tickets were sold? Identify the variables and constants in this problem.

• 0 VIP tickets and 200 regular tickets were sold.

• 200 VIP tickets and 0 regular tickets were sold.

• 50 VIP tickets and 150 regular tickets were sold.

• 100 VIP tickets and 100 regular tickets were sold.