Question

If A:B = 8:12 & B:C =20:24 Find A:C

Answer 1

Step-by-step explanation:

A:B = 8:12

$\frac{a}{b} = \frac{8}{12} \\ 12a = 8b \\ \\ a = \frac{8b}{12} \\ \\ a = \frac{2b}{3}$

B:C = 20:24

$\frac{b}{c} = \frac{20}{24} \\ \\ 24b = 20c \\ \\ c = \frac{24b}{20} \\ \\ c = \frac{6b}{5}$

$\frac{a}{c} = \frac{ \frac{2b}{3} }{ \frac{6b}{5} } \\ \\ = \frac{a}{c} = \frac{2b \times 5}{6b \times 3} \\ \\ = \frac{a}{c} = \frac{5}{9}$

so, A:C = 5:9

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