Question

In one section of the wood, there are 35 oak trees and 49 beech trees. In the whole wood, there are 7200 trees in the wood altogether. Mia: I estimate that there are 3000 oak trees in the wood altogether. Show how Mia worked out this estimate

Answer 1

To find:

How Mia worked out the given estimate?

Step-by-step explanation:

• In one section of the wood, there are 35 oak trees and 49 beech trees.

• Then in that section, the ratio of the number of oak trees and the number of beech trees is 35 : 49 = 5 : 7

• Now the fraction in favor of the number of oak trees is 5/12 and that of beech trees is 7/12.

• Given, there are 7200 trees in the wood together.

• If we consider the trees to be equally distributed in the whole wood, then the number of oak trees in the wood is (5/12 × 7200) = 3000.

• And the number of beech trees is (7/12 × 7200) = 4200.

Conclusion:

The given estimate was worked out on the basis of proportionality.