\begin{tabular}{|l|r|r|}
\hline & \multicolumn{1}{|c|}{ Total forces } & \multicolumn{1}{|c|}{\begin{tabular}{c}
Total \\
casualties
\end{tabular}} \\
\hline Germany & [tex]$11,000,000$[/tex] & [tex]$7,142,558$[/tex] \\
\hline \begin{tabular}{l}
Austria- \\
Hungary
\end{tabular} & [tex]$7,800,888$[/tex] & [tex]$7,020,000$[/tex] \\
\hline \begin{tabular}{l}
Ottoman \\
Empire
\end{tabular} & [tex]$2,850,000$[/tex] & 975,000 \\
\hline
\end{tabular}

Why was Austria-Hungary's casualty rate higher than Germany's?

A. Germany had a lower percentage of forces killed than forces wounded.
B. Germany had a lower number of total forces than Austria-Hungary did.
C. Austria-Hungary had a higher percentage of total forces killed and wounded than Germany did.
D. Austria-Hungary had a higher number of total forces than Germany did.



Answer :

Let's analyze the data provided.

1. Germany:
- Total forces: [tex]\(11,000,000\)[/tex]
- Total casualties: [tex]\(7,142,558\)[/tex]

2. Austria-Hungary:
- Total forces: [tex]\(7,800,888\)[/tex]
- Total casualties: [tex]\(7,020,000\)[/tex]

3. Ottoman Empire:
- Total forces: [tex]\(2,850,000\)[/tex]
- Total casualties: [tex]\(975,000\)[/tex]

We need to determine the casualty rate for Germany and for Austria-Hungary and see which of the given statements explains why Austria-Hungary's casualty rate was higher.

### Step-by-Step Calculation:

1. Casualty Rate Calculation:
- Germany:
[tex]\[ \text{Casualty Rate Germany} = \frac{\text{Total casualties}}{\text{Total forces}} = \frac{7,142,558}{11,000,000} \][/tex]
[tex]\[ \text{Casualty Rate Germany} \approx 0.649 \][/tex]

- Austria-Hungary:
[tex]\[ \text{Casualty Rate Austria-Hungary} = \frac{\text{Total casualties}}{\text{Total forces}} = \frac{7,020,000}{7,800,888} \][/tex]
[tex]\[ \text{Casualty Rate Austria-Hungary} \approx 0.900 \][/tex]

2. Comparison:
- Germany's casualty rate is approximately [tex]\(0.649\)[/tex].
- Austria-Hungary's casualty rate is approximately [tex]\(0.900\)[/tex].

3. Explanation based on Casualty Rates:
- Austria-Hungary's casualty rate ([tex]\(0.900\)[/tex]) is significantly higher than Germany's casualty rate ([tex]\(0.649\)[/tex]).
- This means that a higher percentage of Austria-Hungary's total forces were either killed or wounded compared to Germany.

### Conclusion:

Given the casualty rates, the most accurate statement that explains why Austria-Hungary had a higher casualty rate than Germany is:

Austria-Hungary had a higher percentage of total forces killed and wounded than Germany did.

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