A solution contains 30% alcohol by weight.How much more alcohol must be added to 100g of the solution so that the percentage of alcohol may become 50%?
We can calculate mass percentage of alcohol in a solution this way
where `m_a` is mass of alcohol, `m_s` ` ` is mass of whole solution and `p` is percentage.
So if solution of 100g contains 30% of alcohol it follows that
`m_a=30`g <-- current mass of alcohol in the solution
Now to get solution with 50% of alcohol we will add `x` grams of alcohol so we have
So we need to add 40g of alcohol to the solution to get solution with 50% of alcohol.