Answer :
Final answer:
The weight of person a is 285 kg.
Explanation:
Let's solve this problem step by step:
From the given information, we know that the average weight of a, b, c, and d is 60 kg.
We are also given that the average weight of a, b, c, d, and e is 57 kg.
Since the average weight of b, c, d, e, and f is 61 kg, we can subtract the average weight of a, b, c, and d (60 kg) from the average weight of b, c, d, e, and f (61 kg). This will give us the weight of f:
f = (average weight of b, c, d, e, and f) - (average weight of a, b, c, and d)
f = 61 kg - 60 kg
f = 1 kg
Since the weight of f is 5 kg more than that of e, we can subtract 5 kg from the weight of f to find the weight of e:
e = f - 5 kg
e = 1 kg - 5 kg
e = -4 kg
Finally, since the average weight of a, b, c, d, e, and f is 57 kg, we can substitute the weights we found for e and f into the equation and solve for a:
Average weight of a, b, c, d, e, and f = [(weight of a) + (weight of b) + (weight of c) + (weight of d) + (weight of e) + (weight of f)] / 6
57 kg = [(weight of a) + 60 kg + 0 kg + 0 kg + (-4 kg) + 1 kg] / 6
57 kg = (weight of a + 57 kg) / 6
Now solve for the weight of a:
57 kg * 6 = weight of a + 57 kg
342 kg - 57 kg = weight of a
285 kg = weight of a
Therefore, the weight of a is 285 kg.
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