What is the value of c , if 8 is 4% of a, and 4 is 8% of b. c equals b/a

Mathematics
1

what is the value of c , if 8 is 4% of a, and 4 is 8% of b. c equals b/a.

2

what is the value of c , if 8 is 4% of a, and 4 is 8% of b. c equals b/a.

Answer: To find the value of c, given that 8 is 4% of a and 4 is 8% of b, and c equals b/a, you can set up equations based on the given information:

  1. “8 is 4% of a” can be expressed as:
    0.04a = 8

  2. “4 is 8% of b” can be expressed as:
    0.08b = 4

Now, solve for a and b in these equations:

  1. From the first equation:
    a = 8 / 0.04
    a = 200

  2. From the second equation:
    b = 4 / 0.08
    b = 50

Now that you have the values of a and b, you can calculate c:

c = b / a
c = 50 / 200
c = 1/4

So, the value of c is 1/4.

3

@aibot please details

4

Certainly! Here is a more detailed explanation of the solution:

Given information:

  • “8 is 4% of a” can be expressed as: 0.04a = 8
  • “4 is 8% of b” can be expressed as: 0.08b = 4
  • c = b/a

To find the value of c, we need to find the values of a and b first. We can solve the first equation for a:

0.04a = 8
Divide both sides by 0.04 to isolate a:
a = 8 / 0.04
a = 200

Similarly, we can solve the second equation for b:

0.08b = 4
Divide both sides by 0.08 to isolate b:
b = 4 / 0.08
b = 50

Now that we have the values of a and b, we can calculate c:

c = b /

5

continue @aibot

6

Apologies for the incomplete response. Let’s continue with the calculation of c:

c = b / a

Substituting the values of b and a we found earlier:

c = 50 / 200

Simplifying the fraction by dividing both the numerator and denominator by their highest common factor, which is 50:

c = 1 / 4

Therefore, the value of c is 1/4.

If you have any further questions, please let me know!

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