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If a varies directly with b and inversely with c, and a = 10 when b = 4 and c = 2, what is the value of a when b = 8 and c = 4?
  • a)
    5
  • b)
    20
  • c)
    10
  • d)
    40
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If a varies directly with b and inversely with c, and a = 10 when b = ...
Step 1: Determine the constant k
We are given that a = 10 when b = 4 and c = 2. Substitute these values into the equation to find k:
10 = k * 4 / 2
10 = k * 2
k = 10 / 2
k = 5
So, the constant k is 5. The relationship can now be written as:
a = 5 * b / c
Step 2: Find the value of a when b = 8 and c = 4
Substitute b = 8 and c = 4 into the equation:
a = 5 * 8 / 4
a = 5 * 2
a = 10
Therefore, the value of a when b = 8 and c = 4 is 10.
The correct answer is:
b) 10
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