Question

If 60% of A = 0.3 of B = 1/6 of C, find A: B: C.

• A. 5:10:18
• B. 18:10:5
• C. 6:3:10
• D. 10:5:18

Answer 1

Answer:

A. 5:10:18

Given:

$60\% \text{ of } A = 0.3 \text{ of } B = \frac{1}{6} \text{ of } C$

Convert to fractions:

$\frac{3}{5}A = \frac{3}{10}B = \frac{1}{6}C$

Let the common value be (k).

Then:

$\frac{3}{5}A = k \Rightarrow A=\frac{5k}{3}$

$\frac{3}{10}B = k \Rightarrow B=\frac{10k}{3}$

$\frac{1}{6}C = k \Rightarrow C=6k$

So,

$A:B:C = \frac{5k}{3} : \frac{10k}{3} : 6k$

Multiply by 3 to remove denominators:

$5k : 10k : 18k$

Therefore,

$\boxed{5:10:18}$