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# Fatimah,Siti and Noraini share 90 marbles in the ratio 4 : 5 : 6.Calculate the number of marbles that siti receives.

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Fatimah,Siti and Noraini share 90 marbles in the ratio 4 : 5 : 6.Calculate the number of marbles that siti receives.

Apr 2, 2020

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Fatimah,Siti and Noraini share 90 marbles in the ratio 4 : 5 : 6.

Calculate the number of marbles that siti receives.

$$\begin{array}{|rcll|} \hline 4x+5x+6x &=& 90 \\ x(4+5+6) &=& 90 \\ 15x &=& 90 \\ x &=& \dfrac{90}{15} \\ \mathbf{x} &=& \mathbf{6} \\ \hline \end{array}$$

$$\begin{array}{|lrcll|} \hline \text{Fatimah}: & 4\times \mathbf{6} &=& 24\ \text{marbles} \\ \text{Siti}: & 5\times \mathbf{6} &=& 30\ \text{marbles} \\ \text{Noraini}: & 6\times \mathbf{6} &=& 36\ \text{marbles} \\ \hline \end{array}$$

Apr 2, 2020