There is a bottle of 75% and 45% alcohol. Now we need to prepare 300 grams of 65% alcohol. How many grams should we take for each of the two concentrations?

There is a bottle of 75% and 45% alcohol. Now we need to prepare 300 grams of 65% alcohol. How many grams should we take for each of the two concentrations?

Suppose 75% alcohol x g is needed, then 45% alcohol is 300-x -------- according to the quality before and after the change
So, according to the total amount of alcohol, there is no change
75%x+45%*(300-x)=65%*300
The solution is x = 200
So 75% alcohol needs 200 grams,
45% alcohol needs 300-200 = 100g

A, B two kinds of wine each contain 75% and 45% alcohol, now to prepare 300 grams of wine with 65% alcohol, how many grams should be taken from each of the two kinds of wine?

75%x+（300-x）×45%=300×65%        0.75x+135-0.45x=195                   0.3x=60                      X = 200300-200 = 100g A: it needs 200g 75% alcohol solution and 100g 45% alcohol solution

A, B two kinds of wine each contain 75% and 45% alcohol, now to prepare 300 grams of wine with 65% alcohol, how many grams should be taken from each of the two kinds of wine?

75%x+（300-x）×45%=300×65%        0.75x+135-0.45x=195                   0...

There are two kinds of wine with 75% and 45% alcohol at present. If we want to make a wine with 65% alcohol, 300g should be taken from each of the two kinds of wine
How many grams each?

Let 75 be x g and 45 be (300-x) g
Equation:
〔75X＋45（300－X）〕／300＝65.
We can calculate 75.45.65% of the total
X＝200.