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janayflowers042
09.02.2021 •
Mathematics
HELP I BEEN STUCK ON THIS FOR AN HALF HOUR plz I’ll give that brain thingy
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Ответ:
There are 12 horses and 18 geese.
Step-by-step explanation:
We are given that in a field full of horses and geese, a farmer notes that there are 30 heads and 84 feet.
We can write a system of equations using the given information.
Let the amount of horses there are be represented by h and geese by g.
Assuming each horse and geese has only one head, we can write that:
And assuming that each horse has four feet and each geese has two feet, we can write that:
This yields a system of equations:
We can solve it using substitution. From the first equation, isolate either variable:
From the second, we can first divide by two:
And substitute:
Combine like terms:
Subtract:
Therefore, there are 12 horses.
And since the total number of animals is 30, there must be 30 - 12 or 18 geese.
In conclusion, there are 12 horses and 18 geese.