Question

In one pot the ratio of milk and water is 3:5 and in another pot it is 6:1 in what ratio should the content of the two pots be mixed so as to make the ratio between milk and water is to be 7:3​

Answer 1

Answer:

The contents of the two pots should be mixed by the ratio 44:91

Step-by-step explanation:

• 1st pot: Lets assume x liter mixture of 1st pot is taken.

                    In x liter amount of milk = $\frac{3x}{8}$ and amount of water = $\frac{5x}{8}$

• 1nd pot: Lets assume y liter content of 2nd pot is taken.

                    In y liter amount of milk = $\frac{6y}{7}$ and amount of water = $\frac{y}{7}$

• Total amount of milk = $\frac{3x}{8}$ + $\frac{6y}{7}$ = $\frac{21x+48y}{56}$

         and total amount of water = $\frac{5x}{8}$ + $\frac{y}{7}$ = $\frac{35x+8y}{56}$

• Ratio:

                      $\frac{21x+48y}{35x+8y}$ = $\frac{7}{3}$

                      63x + 144y = 245x + 56y

                      182x = 88y

                      91x = 44y

                     x:y = 44: 91