Problema Solution

Solution A is 15% alcohol and solution B is 40% alcohol. How much of each should be used on order to make a 15 L of a Solution that is 35% alcohol?

Answer provided by our tutors

let


x = L of Solution A

y = L of Solution B


the mix is 15 L of 35% alchohol


x + y = 15


0.15*x + 0.40y = 0.35*15


by solving the system of equations


x + y = 15

0.15*x + 0.40y = 0.35*15


we find


x = 3 L


y = 12 L


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3 L of Solution A and 12 L of Solution B should be used.