Question
How would you write a real - word problem that models the following equation: -x + 40= x?
Answers
GPT-4o mini
To create a real-world problem that models the equation \(-x + 40 = x\), we can use a scenario involving two people sharing something or comparing quantities. Here’s one way to frame it:
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**Problem:**
Emma and Liam have a total of 40 apples. Emma wants to give some of her apples to Liam so that they will each have the same number of apples. Let \( x \) represent the number of apples Liam has after receiving apples from Emma.
Initially, we can express Emma's apples as \( 40 - x \) (the total number of apples minus the number Liam has after receiving apples from her).
The equation can then be set up as:
\[
-(40 - x) + 40 = x
\]
Simplifying this leads to the desired equation \(-x + 40 = x\).
Can you find out how many apples Liam has after Emma gives him some?
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In this scenario, the problem requires solving the equation to find the number of apples Liam has after receiving some from Emma.
---
**Problem:**
Emma and Liam have a total of 40 apples. Emma wants to give some of her apples to Liam so that they will each have the same number of apples. Let \( x \) represent the number of apples Liam has after receiving apples from Emma.
Initially, we can express Emma's apples as \( 40 - x \) (the total number of apples minus the number Liam has after receiving apples from her).
The equation can then be set up as:
\[
-(40 - x) + 40 = x
\]
Simplifying this leads to the desired equation \(-x + 40 = x\).
Can you find out how many apples Liam has after Emma gives him some?
---
In this scenario, the problem requires solving the equation to find the number of apples Liam has after receiving some from Emma.