Q6 of 15 Page 118

In two different kinds of washing powder the ratios of measurement of soda and soap powder are 2:3 and 4:5. Let’s work out the part of the soap powder in the new washing powder which is prepared by mixing 10 kg of first washing powder with 18kg of second washing powder.

The ratio of mixture of soda and soap in first kind of washing powder = 2:3


The ratio of mixture of soda and soap in second kind of washing powder = 4:5


Concentration of soap as fractions in first kind washing powder



Concentration of soap as fractions in second kind washing powder



mixing 10 kg of first washing powder with 18kg of second washing powder, then


Quantity of new washing powder = (10 + 18) kg = 28 kg


Quantity of soap in new washing powder


= 6 + 10 = 16 kg


Quantity of soda in new washing powder = 28 – 16 = 12 kg


Hence, ratio of soda to soap = 12:16


= 3: 4


Part of soap water in the new washing powder is 4/7.


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