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Ratio and Proportion (Including Sharing in a Ratio) — MATHS STD 7 — Question

ICSE BoardEnglish MediumSTD 7MATHSRatio and Proportion (Including Sharing in a Ratio)3 Marks
Question
If a : b = 1.5 : 3.5 and b : c = 5 : 6, find a : c.
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Answer


$\begin{aligned} & \mathrm{a}: \mathrm{b}=1.5: 3.5 \\ & \frac{\mathrm{a}}{\mathrm{b}}=\frac{1.5}{3.5} \frac{15}{35}=\frac{3}{7} \\ & \mathrm{~b}: \mathrm{c}=5: 6 \\ & \therefore \frac{\mathrm{b}}{\mathrm{c}}=\frac{5}{6} \\ & \text { Now } \frac{a}{b} \times \frac{b}{c}=\frac{3}{7} \times \frac{5}{6}=\frac{5}{14} \\ & \therefore \frac{a}{c}=\frac{5}{14} \\ & \Rightarrow \mathrm{a}: \mathrm{c}=5: 14\end{aligned}$

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