Sure, let’s solve this step-by-step.
1. Given Information:
- The male Bengal tiger weighs 445 pounds.
- The difference in weight between the male and female tigers is 97 pounds.
2. Understanding the Problem:
- We need to find the weight of the female Bengal tiger (denoted as [tex]\( f \)[/tex]).
3. Setting Up the Equation:
- The bar diagram and problem statement inform us that the male tiger's weight (445 pounds) minus the female tiger's weight ([tex]\( f \)[/tex]) gives the difference in weight (97 pounds).
4. Forming the Equation:
- [tex]\( 445 - f = 97 \)[/tex]
5. Solving the Equation:
- To find [tex]\( f \)[/tex], isolate [tex]\( f \)[/tex] on one side of the equation.
- Subtracting 97 from 445 gives the weight of the female tiger.
[tex]\[
445 - 97 = f
\][/tex]
6. Calculation:
[tex]\[
f = 348
\][/tex]
Therefore, the weight of the female Bengal tiger is [tex]\( \boxed{348 \text{ pounds}} \)[/tex].
