A tsunami destoyed 4 fifths of a forest. If 10,800 trees were lost how many trees survived?
Please include the steps.
20% (1/5) survived. 80% (4/5) were lost. The number of surviving trees was (1/5)/(4/5) = 1/4 of the number lost.
Divide 10,800 by 4 for the answer
Here are two ways to do it:
(4/5) total = 10,800
total = (5/4)10,800 = 13,500
and
13,500 - 10,800 = 2,700
OR
1 - (4/5) = 1/5
if
(4/5)total = 10,800
then
(1/5) total = 10,800/4 = 2,700 again
To find out how many trees survived after a tsunami destroyed 4/5 of a forest and resulted in the loss of 10,800 trees, you can follow these steps:
Step 1: Determine the original number of trees in the forest
Since the tsunami destroyed 4/5 (or 4 out of 5 parts) of the forest, we can assume that the remaining 1/5 represents the trees that survived.
To find the original number of trees, we can set up a proportion using the information given:
(1/5) * x = 10,800
Here, x represents the original number of trees.
To solve for x, multiply both sides of the equation by 5 (to cancel out the 1/5 on the left side):
x = 10,800 * 5
x = 54,000
Step 2: Calculate the number of trees that survived
Since the original number of trees in the forest was 54,000, to find the number of trees that survived, we need to subtract the number of trees lost (10,800) from the original number:
Surviving trees = 54,000 - 10,800
Surviving trees = 43,200
Therefore, after the tsunami destroyed 4/5 of the forest and resulted in the loss of 10,800 trees, approximately 43,200 trees survived.