The ratio of a to b is 3 to 4, and the ratio of c to b is 1 to 2. What is the ration of a to c?
F. 1 to 1
G. 3 to 1
H. 3 to 2
J. 3 to 8
K. 6 to 1
a/b = 3/4
c/b = 1/2, so b/c = 2/1
and thus
a/c = a/b * b/c = 3/4 * 2/1 = 3/2
Thank you Steve :).
To find the ratio of a to c, we need to compare the values of a and c. We already know the ratios of a to b and c to b.
Given:
Ratio of a to b = 3 to 4
Ratio of c to b = 1 to 2
Let's assume the value of b is the same in both ratios. This will allow us to compare a directly to c.
Since the ratio of a to b is 3 to 4, we can express a in terms of b as follows:
a = (3/4) * b
Similarly, since the ratio of c to b is 1 to 2, we can express c in terms of b as follows:
c = (1/2) * b
Now, we can substitute these expressions for a and c into the ratio of a to c:
(a/c) = ((3/4) * b) / ((1/2) * b)
Simplifying the expression:
(a/c) = (3/4) * (2/1)
(a/c) = (3/2)
Therefore, the ratio of a to c is 3 to 2. This corresponds to option H.