a/b =6, b/x =36, and a=36, what is the value of 1/x ?
(A) 1/2
(B) 2
(C) 3/2
(D) 4
(E) 6
i got e
a/x = (b/x)(a/b)
so,
36/x = 36*6
1/x = 6
I got a) 1/6
To find the value of 1/x, we can use the given equations:
a/b = 6 (Equation 1)
b/x = 36 (Equation 2)
a = 36 (Given)
From Equation 1, we can rewrite it as:
1/b = 6/a
Substituting the value of a from the given information (a = 36) into the above equation, we get:
1/b = 6/36
Simplifying further, we have:
1/b = 1/6
Since the denominators are the same, we can conclude that b = 6.
Now, we need to find the value of 1/x. We can use Equation 2:
b/x = 36
Plugging in the value of b (which we found to be 6), we get:
6/x = 36
To solve for x, we can multiply both sides of this equation by x:
6 = 36x
Dividing both sides by 36, we find:
6/36 = x
Simplifying further:
1/6 = x
So the value of 1/x is 1/6.
Therefore, the correct answer is (E) 6.