Question

A team of scientist surveying a forest found that there were four oak trees for every 10 pine trees. If they counted 24 more pine trees than oak trees in total, How many oak trees were there in the forest

Answer 1

Answer:

There are 16 Oak tree in the forest.

Step-by-step explanation:

Given: There are 4 Oak tree on every 10 pine trees.

           There are total 24 more pine tree than Oak tree.

 Using the ratio of trees to find the number of trees.

Lets assume there are total number of Oak tree be "x".

∴ Total number of Pine trees will be $"x+24"$

We know the ratio of Oak to Pine tree is 4:10 or $\frac{4}{10}$

⇒$\frac{x}{x+24} = \frac{4}{10}$

Multiplying both side by $x+24$

⇒ $x= \frac{4(x+24)}{10}$

Using distributive property of multiplication, distributing 4 with x and 24.

⇒ $x= \frac{4x+96}{10}$

Multiplying both side by 10

⇒ $10x= 4x+96$

subtracting both side by 4x

⇒ $6x= 96$

dividing both side by 6

⇒$x= \frac{96}{6}$

∴ $x= 16$

Hence, There are 16 Oak trees in the forest.