Question 125956
How many ounces of a 50% acetic acid solution should a photographer add to 32 ounces of a 5% acetic acid solution to obtain a 10% acetic acid solution?
:
Let x = amt of acetic acid required
:
Since this is to be added to 32 oz, the final amt will be (x+32)
:
Write a decimal equation:
.50x + .05(32) = .10(x+32)
:
.5x +  1.6 = .1x + 3.2
:
.5x - .1x = 3.2 - 1.6
:
.4x = 1.6
x = {{{1.6/.4}}}
x = 4 oz of 50% acetic acid required
:
:
Check solution in original equation:
.5(4) + .05(32) = .10(4+32)
2 + 1.6 = .1(36)
3.6 = 3.6; confirms our solution
:
Could you follow this OK? Did it make sense to you? Any questions?