Question

A researcher surveyed a forest and found that ratio of pine trees to maple trees 3:5.

Which are the possible numbers of pine trees and maple trees in the forest?

Answer 1

Explanation:

The ratio of pine trees to maple trees in the forest is 3:5. This means that for every 3 pine trees, there are 5 maple trees.

To find the possible numbers of pine trees and maple trees in the forest, we can use the fact that the ratio 3:5 can be expressed as a fraction 3/5. This fraction represents the proportion of pine trees to maple trees in the forest.

For example, if there are 15 pine trees in the forest, we can use the fraction 3/5 to find the number of maple trees. We can do this by multiplying the fraction 3/5 by the number of pine trees, 15. This gives us:

(3/5) * 15 = 9 maple trees

So in this example, there are 15 pine trees and 9 maple trees in the forest. This satisfies the ratio of 3:5.

Similarly, we can find other possible combinations of pine trees and maple trees that satisfy the ratio of 3:5. For example, if there are 30 pine trees in the forest, there would be 50 maple trees, because (3/5) * 30 = 50.

In general, the possible numbers of pine trees and maple trees in the forest are any two numbers that can be expressed as multiples of 3 and 5, respectively, and that satisfy the ratio of 3:5.