Question

(b)IfA:B=1:3andB:C=1:2,whatisproportionalofA:B: C

Answer 1

To find the proportional relationship of A:B:C given the ratios A:B = 1:3 and B:C = 1:2, we can follow these steps:

1. Start with the ratio A:B = 1:3. We can express this as:
- A = 1x
- B = 3x, where x is a common multiplier.

2. Now, use the ratio B:C = 1:2. We need to express B in the equation of this ratio:
- From A:B we have B = 3x.
- According to B:C = 1:2, let’s express C in terms of B:
- B = 1y (where y is another common multiplier).
- C = 2y.

3. Since both expressions are equal to B, we can set them equal to each other:
- 3x = 1y → y = 3x.

4. Substitute y in the equation for C:
- C = 2y = 2(3x) = 6x.

Now, we have A, B, and C in terms of x:
- A = 1x
- B = 3x
- C = 6x

Thus, the proportional relationship A:B:C can be expressed as:
- A:B:C = 1x:3x:6x, which simplifies to:
- A:B:C = 1:3:6.

So the final answer is A:B:C = 1:3:6.