Problema Solution

A man has a 50 kilograms mixture that is 1/3 cement and 2/3 sand. How much of a mixture that is half cement and half sand must be added to the 50 kilogram mixture to produce a mixture that is 2/5 cement and 2/5 sand.

Answer provided by our tutors

We assume the mixture that is half cement and half sand must be added: x

So the equation is

(50*(1/3) + 0.5x)/(50*(2/3) + 0.5x) = (2/5)/(3/5)

So

x = 100/3 = 33.3

So 33.3 kg of a mixture that is half cement and half sand must be added