Q2 of 15 Page 118

In a certain type of brass the ratio of measurements of Copper and Zinc is 5:2. Let’s work out what will be the ratio of Copper and Zinc in 28 kg of brass if 4 kg of Copper is added to it.

Given,


The ratio of copper and zinc in mixture = 5:2


Let copper in mixture is “5a”.


So, zinc will be “2a”.


Given that quantity of brass (mixture of copper and zinc) = 28 kg


quantity of copper+ quantity of zinc = 28


5a + 2a = 28


7a = 28


Or, a = 4


So, quantity of zinc = 2a = 2×4 = 8 kg


Also, quantity of copper = 5a= 5×4= 20 kg


According to given problem,


If we add 4 kg of copper


Then quantity of copper in mixture = 20+4 = 24kg


So, the ratio of copper and zinc in 28 kg of brass


= 3:1


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