Problem Analysis:
The task involves converting a word problem into a mathematical equation and solving it. The example provided in the worksheet demonstrates how to break down the problem step by step. Let's solve the given problem using the same approach.
#### Problem Statement:
John had a total of 15 candy bars. He received:
- 10 candy bars from trick or treating,
- 2 candy bars from a friend, and
- some candy bars from his teacher.
We need to determine how many candy bars John received from his teacher.
---
Step-by-Step Solution:
1.
Identify the total number of candy bars:
John has a total of 15 candy bars.
2.
Break down the sources of candy bars:
- Candy bars received from trick or treating: 10
- Candy bars received from a friend: 2
- Candy bars received from his teacher: Let this be \( x \).
3.
Formulate the equation:
The total number of candy bars is the sum of the candy bars received from all sources:
\[
\text{Total candy bars} = \text{Candy bars from trick or treating} + \text{Candy bars from friend} + \text{Candy bars from teacher}
\]
Substituting the known values:
\[
15 = 10 + 2 + x
\]
4.
Simplify the equation:
Combine the known quantities on the right-hand side:
\[
15 = 12 + x
\]
5.
Solve for \( x \):
To isolate \( x \), subtract 12 from both sides of the equation:
\[
15 - 12 = x
\]
\[
x = 3
\]
---
Final Answer:
John received \(\boxed{3}\) candy bars from his teacher.
---
Explanation of the Solution:
- The problem was converted into a mathematical equation by identifying the total quantity and the contributions from different sources.
- The equation was simplified step by step to isolate the unknown variable \( x \).
- The solution ensures that the total number of candy bars (15) is correctly accounted for by summing the contributions from trick or treating, a friend, and the teacher.
This method aligns with the approach demonstrated in the example provided in the worksheet.
Parent Tip: Review the logic above to help your child master the concept of writing equations worksheet.
