Mastering Variables: Solve & Check Word Problems

A store sells pencils for $2 each and erasers for $3 each. If you buy a total of 10 items and spend $24, how many pencils and erasers did you buy?

• 6 pencils and 4 erasers

• 7 pencils and 3 erasers

• 4 pencils and 6 erasers

• 5 pencils and 5 erasers

Maria has twice as many marbles as John. If John has x marbles and together they have 36 marbles, how many marbles does each person have?

• John has 15 marbles and Maria has 30 marbles.

• John has 10 marbles and Maria has 26 marbles.

• John has 18 marbles and Maria has 36 marbles.

• John has 12 marbles and Maria has 24 marbles.

A movie theater charges $8 for adult tickets and $5 for child tickets. If the total revenue from 50 tickets sold is $320, how many adult and child tickets were sold?

• 15 adult tickets and 35 child tickets

• 25 adult tickets and 25 child tickets

• 30 adult tickets and 20 child tickets

• 40 adult tickets and 10 child tickets

In a class, the number of boys is 3 more than twice the number of girls. If there are g girls in the class and a total of 27 students, how many boys and girls are there?

• Boys: 15, Girls: 12

• Boys: 19, Girls: 8

• Boys: 10, Girls: 17

• Boys: 20, Girls: 7

A gardener has a total of 50 flowers, which are either roses or tulips. If the number of roses is 5 more than twice the number of tulips, how many roses and tulips does the gardener have?

• Roses: 30, Tulips: 20

• Roses: 25, Tulips: 25

• Roses: 40, Tulips: 10

• Roses: 35, Tulips: 15

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

• 100 miles

• 120 miles

• 75 miles

• 50 miles

A baker makes cookies and brownies. If the number of cookies is 4 less than three times the number of brownies and the total number of treats is 32, how many cookies and brownies did the baker make?

• 10 cookies and 22 brownies

• 23 cookies and 9 brownies

• 20 cookies and 12 brownies

• 15 cookies and 17 brownies

In a school, the number of students in the 7th grade is 5 less than twice the number of students in the 6th grade. If there are s students in the 6th grade and a total of 45 students in both grades, how many students are in each grade?

• 6th grade: 20 students, 7th grade: 25 students

• 6th grade: 16 students, 7th grade: 27 students

• 6th grade: 10 students, 7th grade: 35 students

• 6th grade: 15 students, 7th grade: 30 students

A pet store has cats and dogs. If the number of cats is 3 more than the number of dogs and the total number of pets is 27, how many cats and dogs are there?

• 12 dogs and 15 cats

• 8 dogs and 19 cats

• 14 dogs and 13 cats

• 10 dogs and 17 cats

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 15 items and spends $100, how many novels and magazines did they buy?

• 0 novels and 15 magazines

• 3 novels and 12 magazines

• 5 novels and 10 magazines

• 10 novels and 5 magazines