Scientist needs 120 liters of a 20% acid solution for an experiment. the lab has available a 25% and a 10% solution. how many liters of the 25% and how many liters of the 10% solutions should the scientist mix to make the 20% solution?

The scientist needs 80 liters of 25% solution and 40 liters of 10% solution.

Step-by-step explanation:

If x is the liters of 25% solution, and y is the liters of 10% solution, then:

x + y = 120

0.25x + 0.10y = 0.20(120)

Solve the system of equations using substitution or elimination.  Using substitution:

0.25x + 0.10(120 − x) = 0.20(120)

0.25x + 12 − 0.10x = 24

0.15x = 12

x = 80

y = 40

The scientist needs 80 liters of 25% solution and 40 liters of 10% solution.

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )