Problem Analysis:
The worksheet involves solving division problems with remainders. Each problem requires dividing a total quantity by a specific number of people or groups and determining how many items each person/group gets and how many are left over.
Solution Approach:
For each problem, we will:
1. Perform the division to find how many items each person/group gets.
2. Determine the remainder to find out how many items are left over.
Let's solve each problem step by step.
---
Problem 1:
-
Total marbles: 15
-
Number of people: 2
#### Step 1: Perform the division
\[ 15 \div 2 = 7 \text{ R } 1 \]
- Each person gets 7 marbles.
- There is 1 marble left over.
#### Answer:
Each person got
7 marbles.
There was
1 marble left over.
---
Problem 2:
-
Total apples: 37
-
Number of customers: 5
#### Step 1: Perform the division
\[ 37 \div 5 = 7 \text{ R } 2 \]
- Each customer gets 7 apples.
- There are 2 apples left over.
#### Answer:
Each customer got
7 apples.
There were
2 apples left over.
---
Problem 3:
-
Total oranges: 25
-
Number of people: 10
#### Step 1: Perform the division
\[ 25 \div 10 = 2 \text{ R } 5 \]
- Each person gets 2 oranges.
- There are 5 oranges left over.
#### Answer:
Each person got
2 oranges.
There were
5 oranges left over.
---
Problem 4:
-
Total roses: 25
-
Number of vases: 2
#### Step 1: Perform the division
\[ 25 \div 2 = 12 \text{ R } 1 \]
- Each vase has 12 roses.
- There is 1 rose left over.
#### Answer:
Each vase had
12 roses.
There was
1 rose left over.
---
Problem 5:
-
Total carrots: 44
-
Number of people: 5
#### Step 1: Perform the division
\[ 44 \div 5 = 8 \text{ R } 4 \]
- Each person gets 8 carrots.
- There are 4 carrots left over.
#### Answer:
Each person got
8 carrots.
There were
4 carrots left over.
---
Final Answers:
1. Each person got
7 marbles. There was
1 marble left over.
2. Each customer got
7 apples. There were
2 apples left over.
3. Each person got
2 oranges. There were
5 oranges left over.
4. Each vase had
12 roses. There was
1 rose left over.
5. Each person got
8 carrots. There were
4 carrots left over.
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & 7 \text{ marbles}, 1 \text{ marble left over} \\
2. & 7 \text{ apples}, 2 \text{ apples left over} \\
3. & 2 \text{ oranges}, 5 \text{ oranges left over} \\
4. & 12 \text{ roses}, 1 \text{ rose left over} \\
5. & 8 \text{ carrots}, 4 \text{ carrots left over}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 4th grade division word problems with remainders worksheet.
