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At a big cat reserve, a male Bengal tiger weighs more than a female Bengal tiger. The male tiger weighs 445 pounds. The difference in the weights of the tigers is 97 pounds.

The zookeeper created the bar diagram and equation below to find the weight of the female Bengal tiger.

[tex]\[
\begin{tabular}{|l|l|}
\hline
\multicolumn{2}{|c|}{445} \\
\hline
$f$ & 97 \\
\hline
\end{tabular}
\][/tex]

Solve for [tex]$f$[/tex]:
[tex]\[ 445 = f + 97 \][/tex]

What is the value of [tex]$f$[/tex]?

A. 348 pounds
B. 358 pounds
C. 532 pounds
D. 542 pounds

Sagot :

GinnyAnsweridn
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].
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