A barn holds rabbits and pheasant only. There are 35 heads and 98 legs in the yard. How many rabbits and pheasant are in the yard

There are 14 rabbits and 21 pheasants in the yard.

Step-by-step explanation:

Since we don't know the number of animals, lets introduce two variables: the number of rabbits are x and the number of pheasants are y.

Rabbits have 4 feet, so the equation to find the total feet of all rabbit would be 4x.

Pheasants have 2 feet, so the equation to find all of their feet would be 2y.

The total number of heads is 35. Since there are x rabbits and y pheasants, and all of them have 1 head, we get this:

The total number of legs is 98. Since all rabbits have a total of 4x legs and all pheasants have 2y legs, we get this:

If we use them together, we get a linear equation, which we can solve for x:

So, there are 14 rabbits. We can find the number of pheasants by diving 14 heads from the total of 35 heads:

and so we have 21 pheasants.

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step-by-step explanation: