Solving Word Problems: Multistep Algebra for Grade 6

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

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

• 7 pencils and 3 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 10 marbles and Maria has 26 marbles.

• John has 15 marbles and Maria has 30 marbles.

• John has 18 marbles and Maria has 36 marbles.

• John has 12 marbles and Maria has 24 marbles.

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

• 8 cups of flour and 4 cups of sugar

• 15 cups of flour and 10 cups of sugar

• 12 cups of flour and 8 cups of sugar

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer pays $50, how many miles did they drive?

• 200 miles

• 250 miles

• 150 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

• 15 boys and 25 girls

• 10 boys and 30 girls

• 20 boys and 20 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?

• 9

• 6

• 7

• 8

A book costs $15, and there is a sale where you can buy 3 books for the price of 2. If you want to buy x books, how much will you spend?

• (x // 3) * 30 + (x % 3) * 15

• (x // 3) * 15 + (x % 3) * 30

• (x // 2) * 30 + (x % 2) * 15

• x * 15

Liam has 5 more than twice the number of stickers that Emma has. If Emma has y stickers and together they have 35 stickers, how many stickers does each have?

• Emma has 15 stickers and Liam has 20 stickers.

• Emma has 5 stickers and Liam has 30 stickers.

• Emma has 10 stickers and Liam has 25 stickers.

• Emma has 12 stickers and Liam has 23 stickers.

A swimming pool can be filled with water in 6 hours. If a hose can fill the pool in 10 hours, how long will it take to fill the pool using both the hose and the main water line together?

• 5 hours

• 2 hours and 30 minutes

• 4 hours

• 3 hours and 45 minutes

A school is planning a field trip. If each student pays $12 and there are 25 students, how much money will be collected in total?

• 300

• 240

• 360

• 180