In promotional materials, a company increased workforce from 1000 to 1500. Hiring 50% more workers. A rival bragged decreasing emmisions from 1500 to 1000. Claiming 33% reduction. Who is lying? Explain

Let's break down the claims of both companies using percentages and basic math.

### 1. **First company**: Workforce increase
- Initial workforce: 1000 workers
- Increased workforce: 1500 workers
- They claim a **50% increase** in workforce.

We calculate the percentage increase as follows:

\[
\text{Percentage Increase} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100
\]

Substituting the values:

\[
\text{Percentage Increase} = \frac{1500 - 1000}{1000} \times 100 = \frac{500}{1000} \times 100 = 50\%
\]

So, the first company’s claim of a 50% increase is correct.

### 2. **Rival company**: Emissions decrease
- Initial emissions: 1500 units
- Decreased emissions: 1000 units
- They claim a **33% reduction** in emissions.

We calculate the percentage reduction as follows:

\[
\text{Percentage Decrease} = \frac{\text{Old Value} - \text{New Value}}{\text{Old Value}} \times 100
\]

Substituting the values:

\[
\text{Percentage Decrease} = \frac{1500 - 1000}{1500} \times 100 = \frac{500}{1500} \times 100 \approx 33.33\%
\]

The rival company’s claim of a 33% reduction is also correct.

### Conclusion:
Neither company is lying; both claims are accurate based on the calculations.

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Would you like more details on percentage calculations or have any questions?

Here are 5 related questions to deepen understanding:
1. What is the formula to calculate percentage increase or decrease?
2. How do percentage changes affect financial projections in businesses?
3. How would a 20% decrease in emissions compare with a 10% workforce reduction?
4. What role does rounding play in reporting percentage changes?
5. Can multiple percentage changes be combined directly?

**Tip**: Always double-check percentage claims by calculating the change relative to the original value.

In promotional materials, a company increased workforce from 1000 to 1500. Hiring 50% more workers. A rival bragged decreasing emissions from 1500 to 1000. Claiming 33% reduction. Who is lying? Explain.

Explore how to calculate percentage increase and decrease using a real-world example where a company increased its workforce by 50% and a rival decreased emissions by 33%. Understand the math behind these claims, including key formulas for percentage calculations. Ideal for students in Grades 6-8.

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