Nepal wants to have at least 250 Bengal tigers, Panthera tigris, within its borders by the year 2022. As of 2009, the population was 121 tigers. Naturalists have determined that 250 tigers would require 13500 square kilometers of territory. How much territory, in square kilometers, is needed for 121 tigers?

Question

Bytelearn · Accepted Answer

Understand Relationship: Understand the relationship between the number of tigers and the amount of territory they require. We are given that 250 tigers require 13,500 square kilometers of territory. We need to find out how much territory 121 tigers would require. This is a direct proportion problem where the number of tigers is directly proportional to the amount of territory needed.Set Up Proportion: Set up the proportion to find the territory needed for 121 tigers. If 250 tigers require 13,500 square kilometers, then 1 tiger would require 13,500 / 250 square kilometers. We will calculate this value next.Calculate for 1 Tiger: Calculate the territory required for 1 tiger. 13,500 square kilometers / 250 tigers = 54 square kilometers per tiger.Calculate for 121 Tigers: Calculate the territory required for 121 tigers. Now, we multiply the territory required for 1 tiger by the number of tigers (121). 54 square kilometers per tiger × 121 tigers = 6,534 square kilometers.

Full solution

More problems from Evaluate variable expressions: word problems

Related topics