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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

Answer: a
Explanation:
$$\eqalign{ &\,\,\,\, {\text{ }}a{\text{ }}:{\text{ }}b{\text{ }}:{\text{ }}c \cr &\,\,\,\, {\text{ }}3{\text{ }}:{\text{ }}4{\text{ }}:{\text{ }}7{\text{ }} \cr & \boxed{\,\,3x:4x:7x\,\,\,\,} \Rightarrow 14x \cr & a + b + c = 14x \cr & c = 7x \cr & \left( {a + b + c} \right):c = 14x:7x \cr & = 2:1 \cr} $$

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