Solving Integer Word Problems with Fractions for 6th Grade

A farmer has x apples. If he gives away 3 apples and then buys 1/2 of a dozen more, how many apples does he have now?

• x - 3

• x + 3

• x - 2

• x + 6

Sarah has x marbles. She loses 5 marbles and then finds 1/4 of her original amount. Write an equation to find how many marbles she has now.

• x + 5 + (1/4 * x)

• (x - 5) - (1/4 * x)

• (x - 5) + (1/4 * x)

• x - 4

A baker made x cookies. After selling 12 cookies, he baked 1/3 of his original amount again. How many cookies does he have now?

• (2/3)x + 12

• (4/3)x - 12

• x - 12

• (5/3)x - 12

Tom has x dollars. He spends 15 dollars and then earns back 1/5 of what he originally had. Write an equation to find how much money he has now.

• (6/5)x - 15

• (4/5)x + 15

• x - 15 + 5

• (1/5)x - 15

A school has x students. If 10 students leave and then 1/4 of the remaining students join a club, how many students are in the club?

• (1/4) * (x - 5)

• (1/4) * x

• (1/4) * (x + 10)

• (1/4) * (x - 10)

Lisa has x books. She donates 8 books and then buys 1/2 of her original collection back. How many books does she have now?

• (3/2 * x) - 8

• (2 * x) - 8

• (x + 8) - 1

• (x - 8) + 1

A gardener planted x flowers. After 7 flowers died, he planted 1/3 of his original amount again. How many flowers does he have now?

• x - 7

• (5/3)x - 7

• (2/3)x + 7

• (4/3)x - 7

Mark has x toy cars. He gives away 4 cars and then receives 1/6 of his original amount as a gift. How many toy cars does he have now?

• (x - 4)/6

• (7x - 24)/6

• (6x - 24)/6

• (x + 4)/6

A library has x books. If 20 books are checked out and then 1/5 of the remaining books are added to the collection, how many books are in the library now?

• (4/5) * (x + 20)

• (x - 20) + 20

• (1/5) * (x + 20)

• (6/5) * (x - 20)

Emma has x stickers. She uses 10 stickers for a project and then finds 1/2 of her original amount. How many stickers does she have now?

• 1/2 * x

• x - 1

• x - 10

• x/2 + 10