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Ratio and Proportion — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsRatio and Proportion2 Marks
Question
If $a: b = 3: 5,$ find: $(10a + 3b): (5a + 2b)$
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Answer

Given $\frac{a}{b}=\frac{3}{5}$
$\frac{10 a+3 b}{5 a+2 b} $
$=\frac{10\left(\frac{a}{b}\right)+3}{5\left(\frac{a}{b}\right)+2} $
$=\frac{10\left(\frac{3}{5}\right)+3}{5\left(\frac{3}{5}\right)+2} $
$=\frac{6+3}{3+2}$
$=\frac{9}{5}$

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