Application of ratios — lesson. Mathematics CBSE, Class 7.

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In our day-to-day life, we use the ratio in various ways.

Now, we will learn how the ratio helps us to solve our real-life situations.

When two numbers are in the ratio of \(a\):\(b\), they can be represented as \(ax\) and \(bx\).

Because whatever the value we substitute as \(x\) in the expression which will be equal to the original form.

That is,

\begin{array}{l} ax : bx = a : b \\ \frac{ax}{bx} = \frac{a}{b} \\ Where x \neq 0 \end{array}

Consider a ratio of two number 9\(:\)14. Which can also be written as 9\(x\)\(:\)14\(x\).

\begin{array}{l} 9 x : 14 x = 9 : 14 \\ \frac{9 x}{14 x} = \frac{9}{14} \\ If x = 1, then \frac{9}{14} = \frac{9}{14} \end{array}

We will see some application-oriented problems on ratios to understand this concept clearly.

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2. Application of ratios