sasha researched the size of zoos in her state. she found that the zoo in the north part of the state is almost twice as large as the zoo in the south. she also found that the zoo in the south part of the state has 200 fewer than twice the number of animals as the northern zoo. how many animals per acre does each zoo have? north zoo has 64 acres and ? animals and the south zoo has 35 acres and 3800 animals

Question

sasha researched the size of zoos in her state. she found that the zoo in the north part of the state is almost twice as large as the zoo in the south. she also found that the zoo in the south part of the state has 200 fewer than twice the number of animals as the northern zoo. how many animals per acre does each zoo have? north zoo has 64 acres and ? animals and the south zoo has 35 acres and 3800 animals

Answer 1

3800 = 2n-200

n = 2000

north: 2000/64 animals/acre
south: 3800/35 animals/acre

Answer 2

2x-200=3800

North: 64x=2000 which is 31.25 per acre
South: 35x=3800 which is approximately 109 per acre

Answer 3

To find out how many animals per acre each zoo has, we need to calculate the number of animals in each zoo first.

Given:
North Zoo Size = 64 acres
South Zoo Size = 35 acres
South Zoo Number of Animals = 3800

First, we can find the number of animals in the North Zoo by dividing the South Zoo Number of Animals by the ratio of the North Zoo Size to the South Zoo Size.

Number of Animals in North Zoo = South Zoo Number of Animals / (North Zoo Size / South Zoo Size)
Number of Animals in North Zoo = 3800 / (64 / 35)
Number of Animals in North Zoo = 3800 / 1.82857143
Number of Animals in North Zoo ≈ 2079.25

So, the North Zoo has approximately 2079 animals.

Next, to find the number of animals in the South Zoo, we can use the given information that the South Zoo has 200 fewer than twice the number of animals in the North Zoo.

Number of Animals in South Zoo = 2 * Number of Animals in North Zoo - 200
Number of Animals in South Zoo = 2 * 2079.25 - 200
Number of Animals in South Zoo ≈ 3958.5

So, the South Zoo has approximately 3959 animals.

Finally, to determine the number of animals per acre for each zoo, we divide the number of animals by the size of each zoo.

Animals per Acre in North Zoo = Number of Animals in North Zoo / North Zoo Size
Animals per Acre in North Zoo ≈ 2079.25 / 64
Animals per Acre in North Zoo ≈ 32.48

Animals per Acre in South Zoo = Number of Animals in South Zoo / South Zoo Size
Animals per Acre in South Zoo ≈ 3959 / 35
Animals per Acre in South Zoo ≈ 113.11

So, the North Zoo has approximately 32.48 animals per acre, and the South Zoo has approximately 113.11 animals per acre.

Answer 4

north: 31.25 animals per acre

south: 108 per acre

north: 64x=2000
south: 35x=3800