In two types of brass,the ratios of Copper to | vedclass

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(D) Let the two types of brass be $A$ and $B$.In brass $A$,the ratio of Copper to Zinc is $8:3$. The fraction of Copper is $\frac{8}{11}$ and the frac

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$5:2$

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(D) Let the two types of brass be $A$ and $B$.In brass $A$,the ratio of Copper to Zinc is $8:3$. The fraction of Copper is $\frac{8}{11}$ and the fraction of Zinc is $\frac{3}{11}$.In brass $B$,the ratio of Copper to Zinc is $15:7$. The fraction of Copper is $\frac{15}{22}$ and the fraction of Zinc is $\frac{7}{22}$.We mix these in the ratio $5:2$. Let us take $5$ units of brass $A$ and $2$ units of brass $B$.Total Copper $= 5 	imes \frac{8}{11} + 2 	imes \frac{15}{22} = \frac{40}{11} + \frac{15}{11} = \frac{55}{11} = 5$.Total Zinc $= 5 	imes \frac{3}{11} + 2 	imes \frac{7}{22} = \frac{15}{11} + \frac{7}{11} = \frac{22}{11} = 2$.The ratio of Copper to Zinc in the new mixture is $5:2$.

In two types of brass,the ratios of Copper to Zinc are $8:3$ and $15:7$ respectively. If the two types of brass are melted and mixed in the ratio $5:2$,a new type of brass is obtained. The ratio of Copper to Zinc in this new type of brass is:

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