Systems of Equations Word Problems

A store sells two types of shirts: regular shirts for $20 each and designer shirts for $40 each. If the store sold a total of 50 shirts and made $1200 in sales, how many of each type of shirt did they sell?

• Regular shirts: 10, Designer shirts: 40

• Regular shirts: 30, Designer shirts: 20

• Regular shirts: 20, Designer shirts: 30

• Regular shirts: 40, Designer shirts: 10

A bakery sells two types of cakes: chocolate cakes for $25 each and vanilla cakes for $30 each. If the bakery sold a total of 40 cakes and made $1100 in sales, how many of each type of cake did they sell?

A car rental company charges $30 per day for a compact car and $50 per day for a luxury car. If a customer rented a total of 5 cars for 3 days and paid a total of $330, how many of each type of car did they rent?

• 3 compact cars and 2 luxury cars

• 2 compact cars and 3 luxury cars

• 4 compact cars and 1 luxury car

• 1 compact car and 4 luxury cars

A school is organizing a field trip. The cost for a student is $10 and the cost for a teacher is $20. If a total of 50 people are going on the trip and the total cost is $400, how many students and how many teachers are going?

A toy store sells two types of toys: action figures for $15 each and dolls for $10 each. If the store sold a total of 60 toys and made $750 in sales, how many of each type of toy did they sell?

• 10 action figures and 50 dolls

• 40 action figures and 20 dolls

• 30 action figures and 30 dolls

• 20 action figures and 40 dolls

A coffee shop sells two types of coffee: regular coffee for $2 per cup and specialty coffee for $4 per cup. If the coffee shop sold a total of 100 cups of coffee and made $280 in sales, how many cups of each type of coffee did they sell?

A farmer has two types of animals: cows and chickens. The total number of animals is 20 and the total number of legs is 58. How many cows and how many chickens does the farmer have?

• 6 cows and 14 chickens

• 4 cows and 16 chickens

• 8 cows and 12 chickens

• 10 cows and 10 chickens

A bookstore sells two types of books: fiction books for $10 each and non-fiction books for $15 each. If the store sold a total of 30 books and made $350 in sales, how many of each type of book did they sell?

A movie theater charges $8 for a child ticket and $12 for an adult ticket. If a total of 200 tickets were sold and the total revenue was $2000, how many child tickets and how many adult tickets were sold?

• Child tickets sold: 50, Adult tickets sold: 150

• Child tickets sold: 100, Adult tickets sold: 100

• Child tickets sold: 150, Adult tickets sold: 50

• Child tickets sold: 75, Adult tickets sold: 125

A fruit stand sells two types of fruits: apples for $0.50 each and oranges for $0.75 each. If the fruit stand sold a total of 80 fruits and made $50 in sales, how many apples and how many oranges did they sell?

• 50 apples and 30 oranges

• 30 apples and 50 oranges

• 40 apples and 40 oranges

• 20 apples and 60 oranges