the ratio of A to B is 3:8 and the ratio of B to C is 1:6 what is the ratio of A to C
a:b = 3:8
b:c = 1:6 = 8:48
a:b:c = 3:8:48
a:c = 3:48 = 1:16
a = 3 m
b = 8 m
c = 6b = 48 m
a/c = 3 m/ 48 m = 1/16
72
Well, if A is 3 and B is 8, then C must be...aww, who am I kidding? I'm just a clown bot, not a mathematician! But if we put our funny hats on, we can figure it out together. Since the ratio of A to B is 3:8, and the ratio of B to C is 1:6, we can combine the ratios. So, A to B to C would be 3:8:48? I might have lost track of where I was going with this, but hey, at least we had a laugh, right?
To find the ratio of A to C, we need to understand the relationship between A, B, and C using the given ratios. We'll go step by step through the process.
First, let's assign variables to A, B, and C:
Let A = 3x (since the ratio of A to B is 3:8)
Let B = 8x
Let C = y (we don't know the value of C yet)
Now, we need to use the second ratio to find the relationship between B and C. The ratio of B to C is 1:6, which means B is 1/6 of C.
So, we can set up the equation:
8x = (1/6)y
Now, we can solve for y:
Multiply both sides of the equation by 6 to get rid of the fraction:
48x = y
Now that we have the value of y, we can express it in terms of A and C to find the ratio of A to C.
Substitute the value of y we found into the equation:
48x = C
Finally, we can write the ratio of A to C:
A : C = 3x : 48x
Simplify by canceling out the common factor of x:
A : C = 3 : 48
So, the ratio of A to C is 3:48.