Final answer:
To determine the weight of an elephant on Planet B, we use the ratio 100 to 3 of its weight on Planet A. At 3800 pounds on Planet A, the elephant would weigh 114 pounds on Planet B when we apply the proportion and solve for the weight on Planet B.
Step-by-step explanation:
To find the weight of an elephant on Planet B, we first establish the given ratio of the elephant's weight on Planet A to Planet B, which is 100 to 3. Since the elephant weighs 3800 pounds on Planet A, we will set up a proportion to solve for its weight on Planet B.
Using the ratio 100:3, we create the proportion:
Planet A weight / Planet B weight = 100 / 3
Then, insert the known weight on Planet A into the proportion:
3800 pounds / Planet B weight = 100 / 3
Now, solve for Planet B weight by cross-multiplying:
100 × Planet B weight = 3800 × 3
Planet B weight = (3800 × 3) / 100
Planet B weight = 11400 / 100
Planet B weight = 114 pounds
Therefore, the elephant would weigh 114 pounds on Planet B.