Solving Real-World Systems: Substitution & Elimination

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 of each type of ticket did they sell?

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 student tickets

• 20 adult tickets and 30 student tickets

Maria and John are saving money for a new bike. Maria has $20 more than John. Together, they have $120. How much money does each person have?

• John has $40 and Maria has $60.

• John has $60 and Maria has $80.

• John has $30 and Maria has $90.

• John has $50 and Maria has $70.

A farmer has chickens and cows. The total number of animals is 30, and there are 80 legs in total. How many chickens and cows does the farmer have?

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 15 chickens and 15 cows

• 25 chickens and 5 cows

A bookstore sells fiction and non-fiction books. The fiction books cost $15 each, and the non-fiction books cost $10 each. If they sold 40 books for a total of $500, how many of each type did they sell?

• 20 fiction books and 20 non-fiction books

• 25 fiction books and 15 non-fiction books

• 30 fiction books and 10 non-fiction books

• 10 fiction books and 30 non-fiction books

Two friends are collecting stickers. Sarah has 5 more stickers than Tom. Together, they have 45 stickers. How many stickers does each friend have?

• Tom has 10 stickers and Sarah has 35 stickers.

• Tom has 20 stickers and Sarah has 25 stickers.

• Tom has 15 stickers and Sarah has 30 stickers.

• Tom has 25 stickers and Sarah has 20 stickers.

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

• 100 miles

• 150 miles

• 50 miles

• 200 miles

In a fruit basket, there are apples and oranges. The total number of fruits is 24, and there are 10 more apples than oranges. How many apples and oranges are in the basket?

• 15 apples and 9 oranges

• 12 apples and 12 oranges

• 17 apples and 7 oranges

• 20 apples and 4 oranges

A concert hall has two types of seats: regular and VIP. Regular seats cost $30, and VIP seats cost $50. If 200 seats were sold for a total of $8,000, how many of each type were sold?

• 100 regular seats and 100 VIP seats

• 150 regular seats and 50 VIP seats

• 200 regular seats and 0 VIP seats

• 50 regular seats and 150 VIP seats

A local gym offers two membership plans. Plan A costs $25 per month, and Plan B costs $40 per month. If 100 members signed up and the total revenue was $3,500, how many members chose each plan?

• 70 members chose Plan A and 30 members chose Plan B.

• 50 members chose Plan A and 50 members chose Plan B.

• 60 members chose Plan A and 40 members chose Plan B.

• 80 members chose Plan A and 20 members chose Plan B.

A pet store has dogs and cats. The total number of pets is 50, and there are 20 more dogs than cats. How many dogs and cats are in the store?

• 5 cats and 45 dogs

• 15 cats and 35 dogs

• 25 cats and 25 dogs

• 10 cats and 40 dogs