Question

A, B, and C shared a cheese sandwich. A ate $\frac{1}{2}$ of the sandwich, B ate $\frac{1}{3}$ of the sandwich, and C ate the rest. Find the ratio of A's share to B's share to C's share of the sandwich.

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

Answer 1

Answer: (D)

3:2:1

The share of A is $\frac{1}{2}$. The share of B is $\frac{1}{3}$. The share of C will be $1-(\frac{1}{2}+\frac{1}{3})=\frac{1}{6}$. Hence $A:B:C=\frac{1}{2}:\frac{1}{3}:\frac{1}{6}$. Multiplying by 6 gives us $3:2:1$.