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A math question #55

Open juntao opened 1 year ago

juntao commented 1 year ago

I have chickens and rabbits. They have a total of 35 heads and 94 legs. How many chickens and how many rabbits do I have?

flows-network-integration[bot] commented 1 year ago

Let x be the number of chickens and y be the number of rabbits.

We can set up two equations based on the given information:

x + y = 35 (because there are a total of 35 heads) 2x + 4y = 94 (because the chickens have 2 legs each and the rabbits have 4)

Next, we can use substitution or elimination to solve for x and y. One possible method using substitution is:

Solve the first equation for x: x = 35 - y

Substitute this expression for x in the second equation: 2(35 - y) + 4y = 94

Simplify and solve for y: 70 - 2y + 4y = 94 2y = 24 y = 12

So there are 12 rabbits. We can use the first equation to find the number of chickens: x + 12 = 35 x = 23

Therefore, there are 23 chickens and 12 rabbits.