Solving Real-World Problems: Systems of Equations Quiz

A fruit seller has apples and oranges. The total weight of the apples is 3 kg, and the total weight of the oranges is 2 kg. If apples cost $2 per kg and oranges cost $3 per kg, how much does the seller earn from selling all the fruits?

• $8

• $12

• $10

• $15

A chemist is mixing two solutions. Solution A has a concentration of 30% salt, and Solution B has a concentration of 50% salt. If the chemist wants to create 10 liters of a solution that is 40% salt, how many liters of each solution should be used?

• 3 liters of Solution A and 7 liters of Solution B

• 2 liters of Solution A and 8 liters of Solution B

• 5 liters of Solution A and 5 liters of Solution B

• 4 liters of Solution A and 6 liters of Solution B

A school is selling tickets for a play. Adult tickets cost $10 each, and student tickets cost $5 each. If the school sold a total of 200 tickets and made $1500, how many adult and student tickets were sold?

• 50 adult tickets and 150 student tickets

• 150 adult tickets and 50 student tickets

• 100 adult tickets and 100 student tickets

• 200 adult tickets and 0 student tickets

A bakery sells two types of cookies: chocolate chip and oatmeal. The chocolate chip cookies cost $4 per dozen, and the oatmeal cookies cost $3 per dozen. If the bakery sold a total of 50 dozen cookies for $180, how many dozen of each type were sold?

• 40 dozen chocolate chip cookies and 10 dozen oatmeal cookies

• 25 dozen chocolate chip cookies and 25 dozen oatmeal cookies

• 30 dozen chocolate chip cookies and 20 dozen oatmeal cookies

• 20 dozen chocolate chip cookies and 30 dozen oatmeal cookies

A car rental company has two types of cars: sedans and SUVs. Sedans cost $30 per day to rent, and SUVs cost $50 per day. If a customer rented a total of 5 cars for 3 days and paid $180, how many of each type of car did they rent?

• 2 sedans and 3 SUVs

• 3 sedans and 2 SUVs

• 4 sedans and 1 SUV

• 5 sedans and 0 SUVs

A gardener is planting two types of flowers: roses and tulips. Roses cost $2 each, and tulips cost $3 each. If the gardener bought a total of 20 flowers for $50, how many roses and tulips did they buy?

• 12 roses and 8 tulips

• 10 roses and 10 tulips

• 5 roses and 15 tulips

• 15 roses and 5 tulips

A bookstore sells fiction and non-fiction books. Fiction books cost $15 each, and non-fiction books cost $20 each. If the bookstore sold a total of 30 books for $500, how many fiction and non-fiction books were sold?

• 20 fiction books and 10 non-fiction books

• 25 fiction books and 5 non-fiction books

• 15 fiction books and 15 non-fiction books

• 10 fiction books and 20 non-fiction books

A pet store has cats and dogs for sale. Cats are priced at $100 each, and dogs are priced at $200 each. If the store sold a total of 15 pets for $2200, how many cats and dogs were sold?

• 8 cats and 7 dogs

• 6 cats and 9 dogs

• 5 cats and 10 dogs

• 10 cats and 5 dogs

A restaurant offers two types of meals: vegetarian and non-vegetarian. Vegetarian meals cost $12 each, and non-vegetarian meals cost $15 each. If the restaurant sold a total of 40 meals for $540, how many vegetarian and non-vegetarian meals were sold?

• 30 vegetarian meals and 10 non-vegetarian meals

• 20 vegetarian meals and 20 non-vegetarian meals

• 25 vegetarian meals and 15 non-vegetarian meals

• 15 vegetarian meals and 25 non-vegetarian meals

A concert venue sold tickets for two sections: general admission and VIP. General admission tickets cost $50 each, and VIP tickets cost $100 each. If the venue sold a total of 200 tickets for $12,000, how many general admission and VIP tickets were sold?

• 160 general admission tickets and 40 VIP tickets were sold.

• 180 general admission tickets and 20 VIP tickets were sold.

• 100 general admission tickets and 100 VIP tickets were sold.

• 150 general admission tickets and 50 VIP tickets were sold.