SOLUTION: Write a system of two equations using x and y to represent the following problem. A chemist is mixing two solutions together. The chemist wants 100 gallons when complete. He is

Algebra ->  Systems-of-equations -> SOLUTION: Write a system of two equations using x and y to represent the following problem. A chemist is mixing two solutions together. The chemist wants 100 gallons when complete. He is       Log On


   



Question 365378: Write a system of two equations using x and y to represent the following problem. A chemist is mixing two solutions together.
The chemist wants 100 gallons when complete. He is mixing a 24% solution with a 50% solution to get a 36% solution. How many gallons of each will he use?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the amount of 24% solution, y the amount of 50% solution.
1.x%2By=100
.
.
.
24x%2B50y=36%28100%29
2.12x%2B25y=1800
Multiply eq. 1 by -12 and add to eq. 2,
-12x-12y%2B12x%2B25y=-1200%2B1800
13y=600
highlight%28y=600%2F13%29gallons
Then from eq. 1,
x%2B600%2F13=100
highlight%28x=700%2F13%29gallons