How much water should be reduce 9 ml lotion containing 50% alcohol to a lotion containing 30% alcohol?
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Given :
- 9 ml lotion containing 50% alcohol
- a lotion containing 30% alcohol
To find :
- How much water should be reduce 9 ml
Solution :
alcohol in 9 ml lotion = 9 x (50/100) ml
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 4.5 ml
Let x my of water is to be added to it
4.5/(9 + x) x 100 = 30
4.5/(9 + x) = 30/100
= 3/10
3(9 + x) = 4.5 x 10
3x = (45 - 27)
x = 18/3
x = 6
=> water to be added = 6ml
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