Question
If $A : B = 7 : 5$ and $B : C = 9 : 14,$ find $A : C.$
✓
Answer
$\text{A}:\text{B}=7:5$
$\Rightarrow\frac{\text{A}}{\text{B}}=\frac{7}{5}$
$\text{B}:\text{C}=9:14$
$\Rightarrow\frac{\text{B}}{\text{C}}=\frac{9}{14}$
Multiplying we get, $\therefore\frac{\text{A}}{\text{B}}\times\frac{\text{B}}{\text{C}}=\frac{7}{5}\times\frac{9}{14}$
$\Rightarrow\frac{\text{A}}{\text{C}}=\frac{9}{10}$
$\therefore\text{A}:\text{C}=9:10$
$\Rightarrow\frac{\text{A}}{\text{B}}=\frac{7}{5}$
$\text{B}:\text{C}=9:14$
$\Rightarrow\frac{\text{B}}{\text{C}}=\frac{9}{14}$
Multiplying we get, $\therefore\frac{\text{A}}{\text{B}}\times\frac{\text{B}}{\text{C}}=\frac{7}{5}\times\frac{9}{14}$
$\Rightarrow\frac{\text{A}}{\text{C}}=\frac{9}{10}$
$\therefore\text{A}:\text{C}=9:10$
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