SOLUTION: A vessel contains 56 litres of a mixture of milk and water in the ratio 5:2.how much water should be mixed with it so that the ratio of milk and water may be 4:5

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A vessel contains 56 litres of a mixture of milk and water in the ratio 5:2.how much water should be mixed with it so that the ratio of milk and water may be 4:5      Log On


   

Question 1111416: A vessel contains 56 litres of a mixture of milk and water in the ratio 5:2.how much water should be mixed with it so that the ratio of milk and water may be 4:5
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The starting 56 liters of mixture was 40 of milk and 12 of water.

How much water to make ratio 4:5 ?
40%2F%28w%2B16%29=4%2F5
Solve for w.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The starting 56 liters of mixture was 40 of milk and 16 liters of water.

How much water should be added to make ratio 4:5 ?

40%2F%28w%2B16%29=4%2F5

Solve for w: 

40*5 = 4*(w+16)

200 = 4*(w+16)

50 = w+16  ====>  w = 50-16 = 34.


Answer.  34 liters of water should be added.

The solution  (the equation proposed)  by @josgarithmetic is/was   W R O N G.