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Use a graph to find
A farm has chickens and cows. All the cows have 4 legs and all the chickens have 2 legs. All together, there are 82 cow and chicken legs on the farm. Complete the table to show some possible combinations of chickens and cows to get 82 total legs.
| number of chickens ( |
number of cows ( |
|---|---|
| 35 | |
| 7 | |
| 10 | |
| 19 | |
| 5 |
Here is a graph that shows possible combinations of chickens and cows that add up to 30 animals:
<p>Graph of points in the x y plane, origin O, with grid. Horizontal axis, number of chickens, scale 0 to 30 by 1s. Vertical axis, number of cows, scale 0 to 30 by 1s. Points plotted are 0 comma 30, 1 comma 29, 2 comma 28, 3 comma 27, 4 comma 26, 5 comma 25, 6 comma 24, 7 comma 23, 8 comma 22, 9 comma 21, 10 comma 20, 11 comma 19, 12 comma 18, 13 comma 17, 14 comma 16, 15 comma 15, 16 comma 14, 17 comma 13, 18 comma 12, 19 comma 11, 20 comma 10, 21 comma 9, 22 comma 8, 23 comma 7, 24 comma 6, 25 comma 5, 26 comma 4, 27 comma 3, 28 comma 2, 29 comma 1, 30 comma 0.</p>
If the farm has 30 chickens and cows, and there are 82 chicken and cow legs all together, then how many chickens and how many cows could the farm have?