SOLUTION: How many ml of 1.5% solution must be mixed with a 25% solution to prepare 1000ml of 6.5% solution? please show your work so that i can learn how to solve the problem on my ptc

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Question 600396: How many ml of 1.5% solution must be mixed with a 25% solution to prepare 1000ml of 6.5% solution?
please show your work so that i can learn how to solve the problem on my ptcb test this is an example only
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
let
1.5% solution = x ml
25% solution = (1000-x) ml

1.5/100 * x + 25/100 * (1000-x) = 6.5/100 * 1000
0.015x + 0.25*(1000-x) = 65
0.015x + 250 - 0.25x = 65
250 - 65 = 0.25x - 0.015x
185 = 0.235x
x = 185/0.235 = 37/0.047 = 37000/47 ml

so 1.5% solution needed is 37000/47 ml