there are two mixture of milk and water ratio is 5:3 and 5:4 . in what ratio these two mixture are get mixed to get milk and water in the ratio 4:3
Answers
The ratio of the mixture is 4y:3x
Given data :
Milk and water ratio in first mixture = 5:3
Milk and water ratio in second mixture = 5:4
So, the milk and water amount in the first mixture = 5x and 3x (x = variable for first mixture)
So, the milk and water amount in the second mixture = 5y and 4y (y = Variable for second mixture)
Let, the new ratio of mixture = a:b
So, the milk and water amount in the first mixture = 5ax and 3ax
So, the milk and water amount in the second mixture = 5by and 4by
So, the total milk and total water = 5ax + 5by , 3ax+4by
Now, (5ax+4by) : (3ax+4by) = 4:3
Evaluating the above equation
15ax+12by = 12ax+16by
3ax = 4by
3ax/b = 4y
a/b = 4y/3x
Now by concluding answer
a:b = 4y:3x
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