SOLUTION: You have 30 cl of acid solution that is 10% in strenght, how much water would you need to dilute the solution to 7% in strenght.
I have fought with this task for hours now and I
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I have fought with this task for hours now and I
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Question 772776: You have 30 cl of acid solution that is 10% in strenght, how much water would you need to dilute the solution to 7% in strenght.
I have fought with this task for hours now and I am at breaking point, can someone show me how it is done step by step.
You can put this solution on YOUR website! Mixture_Word_Problems/772776 (2013-08-14 12:56:29): You have 30 cl of acid solution that is 10% in strenght, how much water would you need to dilute the solution to 7% in strenght.
I have fought with this task for hours now and I am at breaking point, can someone show me how it is done step by step.
10% of 30 is 3. So
30 cl of 10% solution contains 3 cl of pure acid [and the rest (27 cl) is
water. Forget the water, just think about the amt of acid and the amt of
liquid].
So you have 30 cl of liquid that contains 3 cl of acid
Now you're going to add x liters of liquid (water).
So now you have 30+x cl of liquid that still contains only 3 cl of acid.
Now those 3 cl of acid must be that 7% of 30+x.
| | | |
So 3 = .07 * (30+x)
3 = .07*(30+x)
Multiply both sides by 100 to get rid of the decimal
300 = 7*(30+x)
300 = 210+7x
90 = 7x
= x
That works out to about 12.9 cl of water to dilute it down to 7%
Checking. You'll end up with about 30+12.9 or 42.9 cl. and 7% of
that is 42.9(.07) = 3.003, and that's close enough to 3, and we
expected it be a little off because the 12.9 was rounded off.
Edwin