Decimal Division Word Problems

Examples, solutions, and lessons to help Grade 5 students learn how to solve division word problems involving multi-digit division with group size unknown and the number of groups unknown.

Common Core Standards: 5.NBT.6, 5.NBT.7

New York State Common Core Math Grade 5, Module 2, Lesson 28

Worksheets for Grade 5

Lesson 28 Concept Development

Problem 1
Ava is saving for a new computer that costs $1,218. She has already saved half of the money. Ava earns $14.00 per hour. How many hours must Ava work in order to save the rest of the money?

Problem 2
Michael has a collection of 1,404 sports cards. He hopes to sell the collection in packs of 36 cards and make $633.75 when all the packs are sold. If each pack is priced the same, how much should Michael charge per pack?

Problem 3
Jim Nasium is building a tree house for his two daughters. He cuts 12 pieces of wood from a board that is 128 inches long. He cuts 5 pieces that measure 15.75 inches each, and 7 pieces evenly cut from what is left. Jim calculates that due to the width of his cutting blade, he will lose a total of 2 inches of wood after making all the cuts. What is the length of each of the seven pieces?

Problem 4
A load of bricks is twice as heavy as a load of sticks. The total weight of 4 loads of bricks and 4 loads of sticks is 771 kilograms. What is the total weight of 1 load of bricks and 3 loads of sticks?

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Lesson 28 Homework
This video demonstrates how to solve a division word problem using multiple tape diagrams.

5. Ben is making math manipulatives to sell. He needs to make at least $450. Each manipulative costs $18 to make. He is selling them for $30 each. What is the minimum number he can sell to reach his goal?

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Lesson 28 Homework

1. Mr. Rice needs to replace the 166.25 ft of edging on the flower beds in his backyard. The edging is sold in length of 19 ft each. How many lengths of edging will he need to purchase?
2. Olivia is making granola bars and will use 17.9 oz of pistachios, 12.6 oz of almonds, 12.5 oz of sunflower seeds, and 12.5 oz of cashews. This amount makes 25 bars. What is the total amount of nuts in each bar?
3. Adam has 16.45 kg of flour and he uses 6.4 kg to make hot cross buns. The remaining flour is exactly enough to make 15 batches of scones. How much flour will be in each batch?
4. There are 90 fifth grade students going on a field trip. Each one pays the teacher $9.25 to cover admission to the theater and lunch. Admission for the students will cost $315 and each one gets and equal amount to spend on lunch. How much will each fifth grader be able to spend on lunch?
5. Ben is making math manipulatives to sell. He needs to make at least $450. Each manipulative costs $18 to make. He is selling them for $30 each. What is the minimum number he can sell to reach his goal?

• Show Step-by-step Solutions

Lesson 28 Homework

1. Mr. Rice needs to replace the 166.25 ft of edging on the flower beds in his backyard. The edging is sold in length of 19 ft each. How many lengths of edging will he need to purchase?
2. Adam has 16.45 kg of flour and he uses 6.4 kg to make hot cross buns. The remaining flour is exactly enough to make 15 batches of scones. How much flour will be in each batch?
3. There are 90 fifth grade students going on a field trip. Each student gives the teacher $9.25 to cover admission to the theater and for lunch. Admission for all the students will cost $315 and each student will get an equal amount to spend for lunch. How much will each fifth grader get to spend on lunch?
4. Ben is making math manipulatives to sell. He needs to make at least $450. Each manipulative costs $18 to make. He is selling them for $30 each. What is the minimum number he can sell to reach his goal?

• Show Step-by-step Solutions

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