Question
In a mixture, the initial quantity of milk and water is
11:12 respectively. If (z-14) and ‘z’ litres of milk and water are added respectively in the mixture, then the new ratio of milk and water will be 7:9. Find out the value of ‘z’. It is assumed that the initial quantity of water in the mixture is 72 litres.Solution
In a mixture, the initial quantity of milk and water is 11:12 respectively. It is assumed that the initial quantity of water in the mixture is 72 litres. initial quantity of milk in the mixture = (72/12)x11 = 66 litres If (z-14) and ‘z’ litres of milk and water are added respectively in the mixture, then the new ratio of milk and water will be 7:9. [66+(z-14)]/[72+z] = 7/9 [z+52]/[72+z] = 7/9 9z+468 = 504+7z 9z-7z = 504-468 2z = 36 Value of ‘z’ = 18
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