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2 Posts

Posted - 09/24/2007 :  16:16:17  Show Profile
The following question comes from a practise test...

One fourth of a solution that was 10 percent sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight.
The second solution was what percent sugar by weight?

The answer is given to be 34%.

I assumed a 100 part solution so that means it has 10 parts sugar.

1/4 meaning 25 parts was replaced with another solution, so we now have 16 parts sugar.

Thats as far as I can go. Any help would be appreciated.
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Advanced Member

299 Posts

Posted - 09/24/2007 :  16:51:24  Show Profile
If you take a quarter of the original solution away you have 7.5 parts out of 75. When combined with the new solution giving 16%, you have added 16-7.5 or 8.5%. Taking this as a percent of the new solution, i.e. 8.5% out of one quarter gives 34% (multiply by 4 to get 100%)
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