The concentration of the mixture obtained by mixing two solutions, a and b, is 20%. the concentration of the second mixture obtained by mixing the same two solutions is 14.8%. find the concentration of each of the solutions a and b, if the first mixture is obtained by mixing them in 1: 1 ratio and the second is obtained by mixing them in 3: 7 ratio.

Concentration of solutions A and B are 33% and 7% respectively.

Step-by-step explanation:

Suppose, the concentration of solutions A and B are and respectively.

First mixture

Ratio of solutions A and B is 1 : 1

Lets assume the amount of solution A is and amount of solution B is

Total amount of first mixture and concentration of first mixture is 20%

So, the first equation will be.......

Second mixture

Ratio of solutions A and B is 3 : 7

Lets assume the amount of solution A is and amount of solution B is

Total amount of first mixture and concentration of first mixture is 14.8%

So, the second equation will be.......

From equation (1), we will get :  

Now substituting this into equation (2)......

Plugging this into equation (1), we will get......

So, the concentration of solution A is 0.33 or 33%  and the concentration of solution B is 0.07 or 7%

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)