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Question Number 157584 by MathsFan last updated on 24/Oct/21

$$suppose$$$$theratioofJimtoRohnis2:1$$$$andtheratioofRohntoBillis$$$$3:4,howdoifindfortheratio$$$$ofJimtoBill.....???$$

Answered by peter frank last updated on 25/Oct/21

$$\mathrm{x}=\mathrm{jim}$$$$\mathrm{y}=\mathrm{Rohn}$$$$\mathrm{z}=\mathrm{Bill}$$$$\frac{\mathrm{x}}{\mathrm{y}}=\frac{2}{1}=2\mathrm{y}...\left(\mathrm{i}\right)$$$$\frac{\mathrm{y}}{\mathrm{z}}=\frac{3}{4}$$$$4\mathrm{y}=3\mathrm{z}$$$$\mathrm{z}=\frac{4}{3}\mathrm{y}...\left(\mathrm{ii}\right)$$$$\frac{\mathrm{x}}{\mathrm{z}}=2\mathrm{y}\mathbf{÷}\frac{4}{3}\mathrm{y}$$$$\frac{\mathrm{x}}{\mathrm{z}}=\frac{6}{4}=\frac{3}{2}$$

Commented by MathsFan last updated on 25/Oct/21

$$thanks$$

Answered by Rasheed.Sindhi last updated on 25/Oct/21

$$\overline{)\begin{array}{ccc}J& R& B\\ 2& 1& \\ & 3& 4\\ 6& 3& 4\end{array}}J:B=6:4=3:2$$

Commented by MathsFan last updated on 25/Oct/21

$$howdidgetthe6,3and4\overline{)\begin{array}{c}\\ \\ \end{array}}$$

Commented by Rasheed.Sindhi last updated on 25/Oct/21

$$\overline{)\begin{array}{cccc}J& R& B& \\ 2& 1^{★}& & \\ & 3^{★}& 4& \\ 6& 3^{\ast }& & \underset{\underset{3^{\ast }=LCM(1^{★},3^{★})}{\left(tomeet3in2ndposition\right)}}{mutipliedby3to1stratio}\\ & 3& 4& \underset{\left(tomeet3\left(LCM(1^{★},3^{★})\right)in1stposition\right)}{mutipliedby1to2ndratio}\\ 6& 3& 4& \end{array}}J:B=6:4=3:2$$$$\mathrm{OR}$$$$\overline{)\begin{array}{ccc}J& R& B\\ a& b& \\ & c& d\\ ac& bc& bd\end{array}}J:B=ac:bd$$

Commented by MathsFan last updated on 25/Oct/21

$$interesting$$$$thankyou$$

Answered by mr W last updated on 25/Oct/21

$$\frac{jim}{bill}=\frac{jim}{rohn}\times \frac{rohn}{bill}=\frac{2}{1}\times \frac{3}{4}=\frac{3}{2}$$

Commented by MathsFan last updated on 25/Oct/21

$$imgratefulsir$$

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