Mastering Systems of Equations: 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 adult and student tickets were sold?

• 20 adult tickets and 30 student tickets

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 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 $60 and Maria has $80.

• John has $30 and Maria has $90.

• John has $50 and Maria has $70.

• John has $40 and Maria has $60.

A farmer has chickens and cows. If there are 30 animals in total and the total number of legs is 100, how many chickens and cows does the farmer have?

• 15 chickens and 15 cows

• 5 chickens and 25 cows

• 20 chickens and 10 cows

• 10 chickens and 20 cows

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 there?

• 15 girls and 21 boys

• 12 girls and 24 boys

• 10 girls and 26 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?

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

• 6 pencils and 4 erasers

• 4 pencils and 6 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, Jamie has 25 stickers.

• Alex has 25 stickers, Jamie has 20 stickers.

• Alex has 10 stickers, Jamie has 35 stickers.

• Alex has 30 stickers, Jamie has 15 stickers.

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

• 150 miles

• 50 miles

• 200 miles

• 100 miles

A concert hall has two types of seating: regular seats and VIP seats. 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 of seat were sold?

• 150 regular seats and 50 VIP seats

• 200 regular seats and 0 VIP seats

• 50 regular seats and 150 VIP seats

• 100 regular seats and 100 VIP seats

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?

• 24 apples and 8 oranges

• 20 apples and 12 oranges

• 16 apples and 16 oranges

• 10 apples and 22 oranges

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

• 3 novels and 5 magazines

• 2 novels and 6 magazines

• 1 novel and 7 magazines

• 4 novels and 4 magazines