Systems of Equations: Solve & Check Word 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 of each type of ticket did they sell?

• 35 adult tickets and 15 student tickets

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 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 $40 and Maria has $60.

• John has $30 and Maria has $70.

• John has $50 and Maria has $50.

• John has $20 and Maria has $80.

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?

• 10 chickens and 20 cows

• 20 chickens and 10 cows

• 15 chickens and 15 cows

• 5 chickens and 25 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 in the class?

• 24 girls and 12 boys

• 12 girls and 24 boys

• 18 girls and 18 boys

• 30 girls and 6 boys

A store sells pencils for $2 each and erasers for $1 each. If a student buys a total of 15 items for $24, how many pencils and erasers did they buy?

• 9 pencils and 6 erasers

• 10 pencils and 5 erasers

• 8 pencils and 7 erasers

• 7 pencils and 8 erasers

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

• Sam has 15 coins and Alex has 30 coins.

• Sam has 10 coins and Alex has 35 coins.

• Sam has 20 coins and Alex has 25 coins.

• Sam has 25 coins and Alex has 20 coins.

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?

• 150 miles

• 200 miles

• 50 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?

• 28 apples and 4 oranges

• 24 apples and 8 oranges

• 20 apples and 12 oranges

• 16 apples and 16 oranges

A bookstore sells novels for $15 and magazines for $5. If a customer buys a total of 10 items for $100, how many novels and magazines did they buy?

• 5 novels and 5 magazines

• 6 novels and 4 magazines

• 3 novels and 7 magazines

• 4 novels and 6 magazines

A concert has two types of tickets: VIP tickets for $50 and regular tickets for $30. If 200 tickets were sold for a total of $8000, how many VIP and regular tickets were sold?

• 100 VIP tickets and 100 regular tickets

• 150 VIP tickets and 50 regular tickets

• 50 VIP tickets and 150 regular tickets

• 200 regular tickets and 0 VIP tickets