Solving Linear Equations: Real-Life Word Problems

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 10 items and spends $6.00, how many pencils and erasers did they buy?

• 6 pencils and 4 erasers

• 4 pencils and 6 erasers

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

Maria has twice as many apples as oranges. If she has a total of 18 fruits, how many apples and oranges does she have?

• 10 apples and 8 oranges

• 14 apples and 4 oranges

• Maria has 12 apples and 6 oranges.

• 6 apples and 12 oranges

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer pays $50, how many miles did they drive?

• 120 miles

• 100 miles

• 50 miles

• 75 miles

In a class, the number of boys is 3 more than twice the number of girls. If there are 15 students in total, how many boys and girls are in the class?

• 12 boys and 3 girls

• 8 boys and 7 girls

• 11 boys and 4 girls

• 10 boys and 5 girls

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a batch that uses 12 cups of flour, how much sugar will you need?

• 18 cups of sugar

• 12 cups of sugar

• 10 cups of sugar

• 15 cups of sugar

A gardener has a total of 50 plants, which are either flowers or shrubs. If the number of flowers is 10 more than the number of shrubs, how many flowers and shrubs does the gardener have?

• 25 flowers and 25 shrubs

• 30 flowers and 20 shrubs

• 15 flowers and 35 shrubs

• 40 flowers and 10 shrubs

A theater has 200 seats. If the number of adult tickets sold is 20 more than the number of child tickets sold, how many adult and child tickets were sold if all seats are filled?

• 100 child tickets and 100 adult tickets were sold.

• 80 child tickets and 120 adult tickets were sold.

• 70 child tickets and 130 adult tickets were sold.

• 90 child tickets and 110 adult tickets were sold.

A bike rental shop charges a $15 fee plus $5 for each hour rented. If a customer pays $40, how many hours did they rent the bike?

• 5 hours

• 3 hours

• 4 hours

• 6 hours

In a school, the number of students in the 8th grade is 5 less than three times the number of students in the 7th grade. If there are 50 students in total, how many students are in each grade?

• 7th grade: 10 students, 8th grade: 40 students

• 7th grade: 15 students, 8th grade: 35 students

• 7th grade: 20 students, 8th grade: 30 students

• 7th grade: 14 students, 8th grade: 43 students

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 8 items and spends $66, how many novels and magazines did they buy?

• 3 novels and 5 magazines

• 2 novels and 6 magazines

• 5 novels and 3 magazines

• 4 novels and 4 magazines