7th Grade: Creating Equations from Real-World Problems

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

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

• 20 adult tickets and 30 student tickets

Maria has twice as many apples as John. Together, they have 24 apples. How many apples does each person have?

• John has 6 apples and Maria has 18 apples.

• John has 8 apples and Maria has 16 apples.

• John has 10 apples and Maria has 14 apples.

• John has 12 apples and Maria has 12 apples.

A bookstore sells fiction and non-fiction books. The fiction books cost $15 each and the non-fiction books cost $20 each. If they sold 30 books for a total of $500, how many of each type were sold?

• 25 fiction books and 5 non-fiction books

• 15 fiction books and 15 non-fiction books

• 10 fiction books and 20 non-fiction books

• 20 fiction books and 10 non-fiction books

In a class, the number of boys is 3 more than twice the number of girls. If there are 27 students in total, how many boys and girls are in the class?

• 22 boys and 5 girls

• 15 boys and 12 girls

• 10 boys and 17 girls

• 19 boys and 8 girls

A farmer has chickens and cows. If the total number of animals is 40 and the total number of legs is 120, how many chickens and cows does the farmer have?

• 30 chickens and 10 cows

• 10 chickens and 30 cows

• 20 chickens and 20 cows

• 25 chickens and 15 cows

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 a week, while Jamie 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

• 10 weeks

• 8 weeks

• 6 weeks

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $70, how many miles did they drive?

• 200 miles

• 100 miles

• 250 miles

• 150 miles

In a fruit basket, there are oranges and bananas. The number of oranges is 4 more than twice the number of bananas. If there are 28 fruits in total, how many oranges and bananas are there?

• 15 oranges and 13 bananas

• 10 oranges and 18 bananas

• 25 oranges and 3 bananas

• 20 oranges and 8 bananas

A gym has two types of memberships: monthly and yearly. The monthly membership costs $25, and the yearly membership costs $250. If 100 memberships were sold for a total of $2000, how many of each type were sold?

• 80 monthly and 20 yearly memberships were sold.

• 70 monthly and 30 yearly memberships were sold.

• 90 monthly and 10 yearly memberships were sold.

• 60 monthly and 40 yearly memberships were sold.

A concert hall has two types of seating: regular and VIP. Regular seats cost $50, and VIP seats cost $100. If 200 seats were sold for a total of $12000, how many regular and VIP seats were sold?

• 160 regular seats and 40 VIP seats

• 180 regular seats and 20 VIP seats

• 100 regular seats and 100 VIP seats

• 150 regular seats and 50 VIP seats