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39 votes
39 votes
There are 19 animals on the farm which contains hens and goats. There are 68 legs in total. How many goats are there on the farm?

User Brandon Martinez
by
3.1k points

1 Answer

20 votes
20 votes

Answer: 15 goats

Explanation:

h = hens - they have 2 legs

g = goats - they have 4 legs

The equations would be:

h + g = 19

2h + 4g = 68

To solve this, I personally prefer substitution, we're isolating h since we need to find g:

h + g = 19

h = 19 - g

Now that we have h, we can plug this into the second equation:

2h + 4g = 68

2(19 - g) + 4g = 68

38 - 2g + 4g = 68

2g = 30

g = 15

There are 15 goats.

Adding onto this, 19 - 15 = 4, so there are 4 hens.

User Sammuel
by
3.2k points
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