Question

If a = 2b and b = 3c, what is the ratio a:b:c?

• A. 2:3:1
• B. 6:3:1
• C. 3:2:1
• D. 1:2:3

Hint:

For ratio problems, express all variables in terms of one and simplify.

Answer 1

The Correct Option is B

To find the ratio a:b:c, we start with the given equations:
1. \(a = 2b\)
2. \(b = 3c\)

We want to express all three variables (a, b, and c) in terms of a single variable, so we can determine their ratios.

From equation (2), express b in terms of c:
\(b = 3c\)

Substitute the expression for b in equation (1):
\(a = 2(3c) = 6c\)

Now we have all equations in terms of c:
\(a = 6c\)
\(b = 3c\)
\(c = c\)

The ratio of a:b:c in terms of c is 6:3:1.
So, the correct answer is 6:3:1.