Jackson has 14 pet birds and rabbits. The total number of rabbits have 44 more legs than the total number of birds. How many pets birds does he have?

4r = 2b+44

r+b = 14

4r = 28-2r+44
6r = 72
r = 12
b = 2

check:
bird legs: 4
rabbit legs: 48

Well, isn't Jackson quite the bird enthusiast! Let's take a crack at figuring this out.

Let's start by assuming that each bird has 2 legs and each rabbit has 4 legs.

Now, we know that the total number of rabbits' legs is 44 more than the total number of birds' legs. Since each rabbit has 4 legs and each bird has 2 legs, we can set up the equation:

4R = 2B + 44

Here, R represents the number of rabbits and B represents the number of birds.

Now we also know that the total number of pets is 14:

R + B = 14

To make it easier, let's rearrange the second equation to express R in terms of B:

R = 14 - B

Now we can substitute this value of R into the first equation:

4(14 - B) = 2B + 44

Simplifying that equation will give you:

56 - 4B = 2B + 44

To continue, we can bring all the B terms to one side:

56 - 44 = 2B + 4B

12 = 6B

Finally, divide both sides by 6:

B = 2

Voila! Jackson has 2 pet birds.

Let's assume Jackson has x pet birds.

Since each bird has 2 legs, the total number of legs of the birds is 2x.

Now, let's consider the total number of rabbits. We know that the total number of rabbits is 14 (which includes both birds and rabbits).

Since each rabbit has 4 legs, the total number of legs of the rabbits is 4 * 14 = 56.

According to the given information, the total number of rabbit legs is 44 more than the total number of bird legs.

So, we can set up the equation:

56 = 2x + 44

Subtracting 44 from both sides of the equation:

56 - 44 = 2x

12 = 2x

Dividing both sides of the equation by 2:

12 / 2 = 2x / 2

6 = x

Therefore, Jackson has 6 pet birds.

To solve this problem, let's break it down step by step:

1. Let's assume the number of birds Jackson has is x.
2. We know that the total number of rabbits and birds is 14, so we can write the equation: x + (14 - x) = 14.
This equation simplifies to: x + 14 - x = 14, which means the rabbits cancel out.
Therefore, we can conclude that the number of rabbits is 14 - x.
3. The total number of legs from birds and rabbits is given as the total number of rabbits' legs plus the total number of birds' legs. Since each bird has 2 legs and each rabbit has 4 legs, we can write the equation: 2x + 4(14 - x) = 44 + 2x.
On the left side, 2x represents the total number of bird legs, and 4(14 - x) represents the total number of rabbit legs.
On the right side, 44 represents the additional legs of the rabbits compared to the birds, and 2x represents the legs already counted in the 2x on the left side.
4. Now we can solve the equation: 2x + 56 - 4x = 44 + 2x.
Simplifying, we get 56 - 2x = 44.
5. To isolate x, we subtract 56 from both sides: -2x = 44 - 56.
Simplifying, we get -2x = -12.
6. To find the value of x, we divide both sides by -2: x = -12 / -2.
Simplifying, we get x = 6.

Therefore, Jackson has 6 pet birds.

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