SOLUTION: Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropriate amount of a 40% antifreeze solution.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropriate amount of a 40% antifreeze solution.       Log On


   



Question 90230: Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropriate amount of a 40% antifreeze solution. How many quarts of each should she use?
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
%281.00%28x%29+%2B+0.40%2820+-+x%29%29%2F%2820%29+=+0.50
.
%28x+%2B+0.4%2820+-+x%29%29%2F%2820%29+=+0.5
.
x+%2B+0.4%2820+-+x%29+=+10
.
x+%2B+8+-+0.4x+=+10
.
0.6x+=+2
.
x+=+10%2F3 or pure antifreeze
20+-+10%2F3 or 50%2F3 of 40% antifreeze