Solving Real-World Systems: Using Substitution 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 50 tickets for $400, how many of each type of ticket did they sell?

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 student tickets

• 20 adult tickets and 30 student tickets

• 40 adult tickets and 10 student tickets

Maria and John are saving money for a video game. Maria has $20 more than John. If together they have $100, how much money does each person have?

• John has $50 and Maria has $50.

• John has $30 and Maria has $70.

• John has $20 and Maria has $80.

• John has $40 and Maria has $60.

A farmer has chickens and cows. If there are 30 animals in total and there are 10 more chickens than cows, how many chickens and cows does the farmer have?

• 5 cows and 25 chickens

• 15 cows and 15 chickens

• 10 cows and 20 chickens

• 20 cows and 10 chickens

In a class, the number of boys is twice the number of girls. If there are 36 students in total, how many boys and girls are in the class?

• 12 girls and 24 boys

• 24 girls and 12 boys

• 30 girls and 6 boys

• 18 girls and 18 boys

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

• 6 pencils and 4 erasers

• 4 pencils and 6 erasers

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

Two friends, Alex and Jamie, are collecting stickers. Alex has 5 more stickers than Jamie. If together they have 45 stickers, how many stickers does each friend have?

• Alex has 20 stickers and Jamie has 25 stickers.

• Alex has 30 stickers and Jamie has 15 stickers.

• Alex has 25 stickers and Jamie has 20 stickers.

• Alex has 10 stickers and Jamie has 35 stickers.

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?

• 50 miles

• 150 miles

• 200 miles

• 100 miles

In a fruit basket, there are apples and oranges. The number of apples is three times the number of oranges. If there are 32 fruits in total, how many apples and oranges are there?

• 16 apples and 16 oranges

• 24 apples and 8 oranges

• 20 apples and 12 oranges

• 28 apples and 4 oranges

A concert hall has two types of seats: regular seats and VIP seats. Regular seats cost $50 each and VIP seats cost $100 each. If 200 seats were sold for a total of $12,000, how many of each type of seat were sold?

• 180 regular seats and 20 VIP seats

• 160 regular seats and 40 VIP seats

• 100 regular seats and 100 VIP seats

• 150 regular seats and 50 VIP seats

A bookstore sells novels for $15 each and magazines for $5 each. If a customer bought a total of 8 items and spent $70, how many novels and magazines did they buy?

• 2 novels and 6 magazines

• 4 novels and 4 magazines

• 1 novel and 7 magazines

• 3 novels and 5 magazines