Answers

2015-11-25T12:35:48+08:00
Let x be the number of humans.
y be the number of horses.

Since there are 74 heads, we can form the equation:
x + y = 74

And since there are 196 legs, and we all know that a human has 2 legs and a horse has 4 legs, we can form the equation:
2x + 4y = 196

So, we can now solve for the value of x and y using the two equations.
x + y = 74
2x + 4y = 196

x + y = 74 can be transformed as y = 74 - x. We can substitute this to the value of y in the other equation. Therefore, we have:
2x + 4y = 196
2x + 4(74-x) = 196
2x + 296 - 4x = 196
2x - 4x = 196 - 296
-2x = -100
x = -100/-2
x = 50

From the value of x, we can get the value of y.
x + y = 74
(50) + y = 74
y = 74 - 50
y = 24

Therefore, there are 50 humans and 24 horses.




- D.E.
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