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If A : B = 3 : 4 and B C = 1 : 5, then what is A : C?
$$a:b::b:c$$
$$a:b::b:c\ =\ 3:4::1:5$$
$$a:c\ =\ 3\ \frac{\ 4}{ }\times\ 1\ \frac{\ 5}{ }$$
$$a:c\ =\ 3\ \frac{\ 20}{ }$$
Hence, option A is the correct answer
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