Problem Analysis:
The worksheet involves solving division problems with remainders. Each problem requires dividing a total quantity by a specific number and determining how many items each person gets and how many are left over.
Solution Approach:
For each problem, we will:
1. Perform the division of the total quantity by the number of people.
2. Identify the quotient (number of items each person gets).
3. Identify the remainder (number of items left over).
Let's solve each problem step by step.
---
Problem 1:
Tommy had 22 packets of bird seed which he shared between 5 friends.
- Total packets of bird seed = 22
- Number of friends = 5
#### Step 1: Perform the division
\[ 22 \div 5 = 4 \text{ R } 2 \]
- Quotient = 4 (Each friend gets 4 packets)
- Remainder = 2 (2 packets are left over)
#### Answer:
- Each friend got
4 packets of bird seed.
- There were
2 packets of bird seed left over.
---
Problem 2:
Livvy had 31 pencils which she shared between 10 children.
- Total pencils = 31
- Number of children = 10
#### Step 1: Perform the division
\[ 31 \div 10 = 3 \text{ R } 1 \]
- Quotient = 3 (Each child gets 3 pencils)
- Remainder = 1 (1 pencil is left over)
#### Answer:
- Each child got
3 pencils.
- There was
1 pencil left over.
---
Problem 3:
Sam shared 19 sweets between his two brothers.
- Total sweets = 19
- Number of brothers = 2
#### Step 1: Perform the division
\[ 19 \div 2 = 9 \text{ R } 1 \]
- Quotient = 9 (Each brother gets 9 sweets)
- Remainder = 1 (1 sweet is left over)
#### Answer:
- Each brother got
9 sweets.
- There was
1 sweet left over.
---
Problem 4:
Mr B the Baker baked 29 gingerbread people to share between 10 children.
- Total gingerbread people = 29
- Number of children = 10
#### Step 1: Perform the division
\[ 29 \div 10 = 2 \text{ R } 9 \]
- Quotient = 2 (Each child gets 2 gingerbread people)
- Remainder = 9 (9 gingerbread people are left over)
#### Answer:
- Each child got
2 gingerbread people.
- There were
9 gingerbread people left over.
---
Problem 5:
The greengrocer shared 55 apples between 10 customers.
- Total apples = 55
- Number of customers = 10
#### Step 1: Perform the division
\[ 55 \div 10 = 5 \text{ R } 5 \]
- Quotient = 5 (Each customer gets 5 apples)
- Remainder = 5 (5 apples are left over)
#### Answer:
- Each customer got
5 apples.
- There were
5 apples left over.
---
Final Answers:
1. Each friend got
4 packets of bird seed. There were
2 packets left over.
2. Each child got
3 pencils. There was
1 pencil left over.
3. Each brother got
9 sweets. There was
1 sweet left over.
4. Each child got
2 gingerbread people. There were
9 gingerbread people left over.
5. Each customer got
5 apples. There were
5 apples left over.
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & 4 \text{ packets each, } 2 \text{ left over} \\
2. & 3 \text{ pencils each, } 1 \text{ left over} \\
3. & 9 \text{ sweets each, } 1 \text{ left over} \\
4. & 2 \text{ gingerbread people each, } 9 \text{ left over} \\
5. & 5 \text{ apples each, } 5 \text{ left over}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of division word problems worksheet grade 3.