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Ratio Calculations

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  • Q 1 Past HSC Questions- By Topic - Ratio Calculations

Question 1
HSC 2019 - Question 18 (External Link) Show Question
Answer

a) 6:5:8

b) 180 runs

Worked Solution

\(\textbf{18 a)}\)

\begin{aligned}A=30,\, &B=25,\, C=40\\A:B:C&=30:25:40\\&=\frac{30}{5}:\frac{25}{5}:\frac{40}{5}\\&=6:5:8\end{aligned}

\(\textbf{18 b)}\)

\begin{aligned}\text{Total of} A,\,B,\,C&=30+25+40= \text{ 95 runs}\\A,B,C: \text{ Team}&= 19:36\\\therefore 19 \text{ parts}&=95 \text{ runs}\\1 \text{ part}&=95 \div 19\\&=5\\\text{Whole team}&= 36 \text{ parts}\\&=36\times 5 \text{ runs}\\&= 180\text{ runs}\end{aligned}

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