Question

If A : B = 2 : 3 and B : C = 4 : 5, and A = 16, what is the value of C?

• A. 20
• B. 24
• C. 28
• D. 30

Hint:

Match B in both ratios to build A : B : C.

Answer 1

The Correct Option is D

Step 1: Combine the ratios.
Make B common: \(A : B = 2 : 3 = 8 : 12\) and \(B : C = 4 : 5 = 12 : 15\). So \[A : B : C = 8 : 12 : 15\] Step 2: Use A = 16.
Here \(A = 8k = 16\), so \(k = 2\).
Step 3: Find C.
\[C = 15k = 15 \times 2 = \boxed{30}\]