Problema Solution

A prescription call For 280ml of a 20% acid solution, the chemist has 50% and 15% acid solution in stock. How many millimeter of each solution should the chemist Mix to obtain the Desire prescription?

Answer provided by our tutors

let


x = the ml of the 50% acid solution needed

y = the ml of the 15% acid solution needed


the mix is 280ml of a 20% acid solution thus we have


x + y = 280


0.50*x + 0.15y = 0.20*280


0.5x + 0.15y = 56


by solving the system of equations


x + y = 280

0.5x + 0.15y = 56


we find


x = 40 ml


y = 240 ml


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the chemist needs to mix 40 ml of 50% acid solution with 240 ml of 15% acid solution.