99% of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly. However, the people in my neighborhood like the trees. The commission argues that their new eucalyptus tree removal plan will cut down so few eucalyptus trees that 98% of the trees in our neighborhood will be eucalyptus trees. If the plan only involves removing eucalyptus trees, what percent of the existing tress in my neighborhood would the plan remove?

Question

99% of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly. However, the people in my neighborhood like the trees. The commission argues that their new eucalyptus tree removal plan will cut down so few eucalyptus trees that 98% of the trees in our neighborhood will be eucalyptus trees. If the plan only involves removing eucalyptus trees, what percent of the existing tress in my neighborhood would the plan remove?

please help i know the trees that are not ecalyptus won't change but idk how to make it an equation

Answer 1

nevermind the equation is

0.01t=0.02(t-c)
c=0.5t

Answer 2

To solve this problem, let's assume that there are a total of 100 trees in your neighborhood. Given that 99% of the trees are eucalyptus trees, there will be 99 eucalyptus trees and 1 tree that is not eucalyptus.

According to the commission's plan, after removing some eucalyptus trees, 98% of the remaining trees will still be eucalyptus trees. Let's represent the number of eucalyptus trees to be removed as "x". After removing "x" eucalyptus trees, there will be (99 - x) eucalyptus trees remaining.

Now, let's set up an equation using the information above:

(99 - x) / (100 - x) = 0.98

By cross-multiplying, we get:

99 - x = 0.98 * (100 - x)

Simplifying the equation:

99 - x = 98 - 0.98x

Expanding:

99 - x = 98 - 0.98x
99 - 98 = -0.98x + x
1 = 0.02x

Dividing both sides by 0.02:

1 / 0.02 = x
50 = x

Therefore, the plan will remove 50 eucalyptus trees.

To find the percentage of trees that the plan will remove, we divide the number of trees to be removed (50) by the total number of trees (100) and multiply by 100:

(50 / 100) * 100 = 50%

Therefore, the plan will remove 50% of the existing trees in your neighborhood.

Answer 3

To solve this problem, let's break down the information given:

- Currently, 99% of the trees in your neighborhood are eucalyptus trees.
- The town planning commission wants to remove some eucalyptus trees.
- The commission claims that after the removal, 98% of the trees in your neighborhood will still be eucalyptus trees.

Let's assume there are 100 trees in total in your neighborhood. Since 99% of them are eucalyptus trees, there are 99 eucalyptus trees and 1 non-eucalyptus tree.

According to the commission's claim, after the removal, 98% of the trees will be eucalyptus trees. Let's represent the number of eucalyptus trees to be removed as x.

After the removal, the number of eucalyptus trees will be 99 - x, and the total number of trees will be 100 - x (since only eucalyptus trees are being removed).

We can now set up the equation:

(99 - x) / (100 - x) = 98 / 100

Cross-multiplying, we have:

(99 - x) * 100 = 98 * (100 - x)

Expanding and simplifying the equation:

9900 - 100x = 9800 - 98x

Rearranging the terms:

-100x + 98x = 9800 - 9900

-2x = -100

Dividing both sides by -2:

x = 50

Therefore, the plan would remove 50 eucalyptus trees.

To find the percentage of trees being removed, we divide the number of trees to be removed (50) by the total number of trees in the neighborhood (100) and multiply by 100:

Percentage of trees being removed = (50 / 100) * 100 = 50%

So, the plan would remove 50% of the existing trees in your neighborhood.