Question

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Answer 1

Answer:

There are 47 Borogroves and 35 Mome raths

Step-by-step explanation:

Here, given the number of legs, we want to find the number of each type of animals

Let the number of borogoves be b and the number of mome raths be m

From the question, there are 82 creatures;

Thus;

m + b = 82 ••••••••(i)

the total number of legs by b borogroves will be b * 2 = 2b

the total number of legs by m mome raths will be m * 4 = 4m

the sum of all legs is 234

2b + 4m = 234 •••••••••(ii)

From equation 1, m = 82-b

Substitute this into equation ii

2b + 4(82-b) = 234

2b + 328 - 4b = 234

4b-2b = 328-234

2b = 94

b = 94/2

b = 47

Recall;

m + b = 82

m + 47 = 82

m = 82-47

m = 35