Question

Find the answer The weight of an elephant is 10 to the 3rd power times the weight of a cat .If the the elephant weighs 14,000 pounds,how many pounds does the cat weigh? How did you find the answer?

Answer 1

`14\ pounds`

Below is the procedure that was used to find the answer.

Explanation:

Let be "e" the weight in pounds of the elephant and "c" the weight in pounds of the cat.

According to the information provided in the exercise, we know that The weight of an elephant is
`10^3` times the weight of a cat. Based on this we can write the following equation:

`e=10^3c`

If the weight in pounds of the elephant is:

`e=14,000`

We must substitute this value into the equation and then solve for "c" in order to find the weight in pounds of the cat.

Then we get:

`14,000=10^3c\\\\(14,000)/(10^3)=c\\\\c=14`