High School

The ratio of the weight of an object on Planet A to the weight of the same object on Planet B is 100 to 3.

If an elephant weighs 3700 pounds on Planet A, find the elephant's weight on Planet B.

The elephant's weight on Planet B is _______.

Answer :

To solve the problem of finding the elephant's weight on Planet B, we know the following information:

1. The ratio of the weight of an object on Planet A to its weight on Planet B is 100 to 3.
2. The elephant weighs 3700 pounds on Planet A.

We need to find out how much the elephant would weigh on Planet B using this ratio.

Step-by-step Solution:

1. Understand the Ratio:
- The ratio 100 to 3 means that for every 100 pounds the elephant weighs on Planet A, it weighs 3 pounds on Planet B.

2. Set Up the Equation:
- Let's denote the weight of the elephant on Planet B as [tex]\( W_B \)[/tex].
- The ratio can be set up as:
[tex]\[
\frac{\text{Weight on Planet A}}{\text{Weight on Planet B}} = \frac{100}{3}
\][/tex]
- Substitute the given weight of the elephant on Planet A (3700 pounds) into the equation:
[tex]\[
\frac{3700}{W_B} = \frac{100}{3}
\][/tex]

3. Solve for [tex]\( W_B \)[/tex]:
- Cross-multiply the equation to solve for [tex]\( W_B \)[/tex]:
[tex]\[
3700 \times 3 = 100 \times W_B
\][/tex]
- This simplifies to:
[tex]\[
11100 = 100 \times W_B
\][/tex]

4. Calculate [tex]\( W_B \)[/tex]:
- Divide both sides by 100 to isolate [tex]\( W_B \)[/tex]:
[tex]\[
W_B = \frac{11100}{100}
\][/tex]
[tex]\[
W_B \approx 111
\][/tex]

Therefore, the elephant weighs approximately 111 pounds on Planet B.

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