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1. If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to

A. 2 : 1

B. 14 : 3

C. 7 : 2

D. 1 : 2

Solution:

\begin{aligned} a : b : c \\ 3 : 4 : 7 \\ 3 x : 4 x : 7 x \Rightarrow 14 x \\ ∴ a + b + c = 14 x \\ c = 7 x \\ ∴ (a + b + c) : c \\ = 14 x : 7 x \\ = 2 : 1 \end{aligned}

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