SOLUTION: How many ounces of a 10% baking soda solution must be added to 40 ounces of 2% baking soda solution to make a 5% baking soda solution?

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Question 151588: How many ounces of a 10% baking soda solution must be added to 40 ounces of 2% baking soda solution to make a 5% baking soda solution?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
.10X+.02*40=.05(40+X)
.10X+.8=2+.05X
.10X-.05X=2-.08
.05X=1.2
X=1.2/.05
X=24 OZ. OF 10% BAKING SODA MUST BE ADDED.
PROOF:
.10*24+.02*40=.05(40+24)
2.4+.8=.05*64
3.2=3.2