Creating and Solving Equations in Real-World Scenarios

A fruit seller has apples and oranges. If he has 30 fruits in total and the number of apples is twice the number of oranges, how many apples and oranges does he have?

• 15 apples and 15 oranges

• 25 apples and 5 oranges

• 20 apples and 10 oranges

• 10 apples and 20 oranges

A chemist mixes two solutions: Solution A contains 10% salt and Solution B contains 30% salt. If he wants to create 100 liters of a solution that is 20% salt, how many liters of each solution should he use?

• 70 liters of Solution A and 30 liters of Solution B

• 40 liters of Solution A and 60 liters of Solution B

• 50 liters of Solution A and 50 liters of Solution B

• 30 liters of Solution A and 70 liters of Solution B

A school is selling tickets for a play. Adult tickets cost $12 and student tickets cost $8. If they sold a total of 150 tickets for $1,440, how many adult and student tickets were sold?

• 40 adult tickets and 110 student tickets were sold.

• 60 adult tickets and 90 student tickets were sold.

• 70 adult tickets and 80 student tickets were sold.

• 50 adult tickets and 100 student tickets were sold.

In a bakery, a batch of cookies contains chocolate and vanilla cookies. If there are 50 cookies in total and the number of chocolate cookies is 10 more than the number of vanilla cookies, how many of each type of cookie are there?

• 20 vanilla cookies and 30 chocolate cookies

• 15 vanilla cookies and 35 chocolate cookies

• 10 vanilla cookies and 40 chocolate cookies

• 25 vanilla cookies and 25 chocolate cookies

A gardener is planting flowers and shrubs. If he plants 40 plants in total and the number of flowers is three times the number of shrubs, how many flowers and shrubs did he plant?

• 20 flowers and 20 shrubs

• 30 flowers and 10 shrubs

• 25 flowers and 15 shrubs

• 35 flowers and 5 shrubs

A car rental company has two types of cars: sedans and SUVs. If they have 25 cars in total and the number of SUVs is 5 less than twice the number of sedans, how many sedans and SUVs do they have?

• 8 sedans and 17 SUVs

• 5 sedans and 20 SUVs

• 10 sedans and 15 SUVs

• 12 sedans and 13 SUVs

A store sells two types of shirts: cotton and polyester. If the total number of shirts is 120 and the number of cotton shirts is 20 more than the number of polyester shirts, how many of each type of shirt are there?

• Cotton shirts: 60, Polyester shirts: 60

• Cotton shirts: 80, Polyester shirts: 40

• Cotton shirts: 50, Polyester shirts: 70

• Cotton shirts: 70, Polyester shirts: 50

A restaurant offers two types of pasta dishes: vegetarian and meat. If they sold 80 dishes in total and the number of vegetarian dishes is 10 less than twice the number of meat dishes, how many of each type did they sell?

• 40 meat dishes and 40 vegetarian dishes

• 35 meat dishes and 45 vegetarian dishes

• 20 meat dishes and 60 vegetarian dishes

• 30 meat dishes and 50 vegetarian dishes

A school is organizing a field trip. The cost for a student is $15 and for a teacher is $25. If they collected a total of $1,200 from 60 participants, how many students and teachers went on the trip?

• 50 students and 10 teachers

• 40 students and 20 teachers

• 20 students and 40 teachers

• 30 students and 30 teachers

A pet store has cats and dogs. If there are 50 pets in total and the number of dogs is 5 more than three times the number of cats, how many cats and dogs are there?

• 20 cats and 30 dogs

• 5 cats and 45 dogs

• 10 cats and 40 dogs

• 15 cats and 35 dogs