Question

In a wood there are 420 silver birch trees 130 oak trees and 210 wild cherry trees. What percentage of the trees are oak trees? Give your answer to 1 dp

Answer 1

17.1%

Explanation:

To find the percentage of oak trees in the wood, divide the number of oak trees by the total number of trees (sum of all tree types), and then multiply by 100 to express it as a percentage:

`\begin{aligned}\textsf{Percentage of oak trees}&= \frac{\textsf{Number of oak trees}}{\textsf{Total number of trees}} * 100\\\\&= (130)/(420+130+210) * 100\\\\&= (130)/(760) * 100\\\\&=0.171052631... * 100\\\\&=17.1\%\; \sf (1\;d.p.)\end{aligned}`

Therefore, approximately 17.1% of the trees in the wood are oak trees.

Answer 2

17.1%

Explanation:

In order to calculate the percentage of trees that are oak trees, we can use the following formula:

`\textsf{Percentage of oak trees }=\frac{\textsf{ Number of oak trees }}{\textsf{total number of trees} }\cdot 100\%`

We know that the number of oak trees is 130 and the total number of trees is 420 + 130 + 210 = 760.

Substituting these values into the formula, we get:

`\textsf{Percentage of oak trees }=(130)/(760)\cdot 100\% \\\\ = 0.1710 \cdot 100\% \\\\ \approx 17.1 \% \textsf{( in 1 d.p.)}`

Therefore, 17.1% of the trees in the wood are oak trees.