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# ans with solution

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ans with solution [#permalink]  12 Jun 2004, 13:53
ans with solution
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Last edited by Bhai on 13 Jun 2004, 07:58, edited 2 times in total.
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x/4 + 3/4*1/10 = 16/100
x/4 + 3/40 = 16/100
50x + 15 = 32
50x = 17
x = 17/50 = 34%
A it is
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assume 100ml of solution

25 ml + 75 ml

25 ml had 2.5 mg sugar (because 10%) so 75 ml should have 7.5 mg
now you add new solution and the whole thing then you will have 16% sugar
So you should have 16mg sugar.
Actually 16-7.5 = 8.5 mg of sugar was added by new solution
Since new solution is 25 ml, 100 ml of that solution will have 8.5*4 = 34mg of sugar making it 34% sugar by weight.
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allow me another way...

we have 1/4 of a sol'' taken away and 3/4 of the sol' remains and lets say as three parts of 1/4 now each 1/4 of the solution has = 10 mg of sugar...

a new sol'' is put and the whole = the three 1/4's and the new 1/4 th all now have 16 mg of sugar... which means that the new 1/4th has 10mg and an extra 6 mg not only that it has more so that each of the three 1/4 ths of the old sol'' to get to have 16 mg of sugar

now putting it clear old 3>. 1/4 th's must have each an extra 6 mg of sugar that is 3*6=18
the new 1/4 th sol' should have another extra 6 mg + the 10 mg= 16

now added up it gets to 34...
I hope that was clear ... in acse of doubt let me know

also the two previous expalnations were fab''
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Re: Mixture [#permalink]  22 Jun 2004, 01:59
Bhai wrote:
ans with solution

It is A, 34%. Because 1/4(x) + 3/4*(10) = 16 => x = 34%.
Re: Mixture   [#permalink] 22 Jun 2004, 01:59
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