Question

Gabe​ Amodeo, a nuclear​ physicist, needs liters of a 40​% acid solution. He currently has a 20 % solution and a 50% solution. How many liters of each does he need to make the needed 60 liters of 40​% acid​ solution?

Answer 1

Amodeo needs 20 litres of the 20% solution and 40 litres of the 50% solution to make 60 litres of 40% solution.

Explanation:

this can be solved as system of equations:

0.2x + 0.5y = 0.40(60)

x + y = 60

0.2x + 0.5y = 24

x + y = 60

move the y

x = 60 - y

0.2(60 - y) + 0.5y = 24

12 - 0.2y + 0.5y = 24

12 + 0.3y = 24

0.3y = 12

y = 40

plug in new value for y

x = 60 - 40

x = 20