Solving Multi-Step Word Problems with Variables

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

• 5 pencils and 5 erasers

• 4 pencils and 6 erasers

• 7 pencils and 3 erasers

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

• 18

• 24

• 30

• 12

A recipe requires 3 cups of flour and 2 cups of sugar. If you want to make 4 batches of the recipe, how many cups of flour and sugar do you need in total?

• 10 cups of flour and 6 cups of sugar

• 12 cups of flour and 8 cups of sugar

• 15 cups of flour and 10 cups of sugar

• 8 cups of flour and 4 cups of sugar

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer pays $70, how many miles did they drive?

• 150 miles

• 50 miles

• 200 miles

• 100 miles

In a class, the ratio of boys to girls is 3:5. If there are 40 students in total, how many boys and girls are in the class?

• 25 boys and 15 girls

• 20 boys and 20 girls

• 10 boys and 30 girls

• 15 boys and 25 girls

A gardener is planting flowers in rows. If each row has 8 flowers and he wants to plant a total of 56 flowers, how many rows will he need?

• 6

• 5

• 8

• 7

A book costs $15 and a magazine costs $5. If you buy 3 books and some magazines for a total of $60, how many magazines did you buy?

• 2

• 4

• 1

• 3

A swimming pool is filled with water at a rate of 5 gallons per minute. If it takes 2 hours to fill the pool, how many gallons of water does the pool hold?

• 700 gallons

• 500 gallons

• 800 gallons

• 600 gallons

A school is planning a field trip. The cost per student is $12, and there are 25 students going. If the school has a budget of $300, will they have enough money?

• Yes, they have enough money.

• No, they have a budget of $250.

• No, they will need more money.

• Yes, but only for 20 students.

A box contains red and blue balls. If there are 12 red balls and the number of blue balls is 3 times that, how many balls are there in total?

• 60

• 48

• 24

• 36