There are two mixtures of milk and water. In first mixture of milk and water ratio is 5:3 in second mixture 5:4
In what ratio these two mixtures are mixed to get 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)
So,the milk and water amount in the second mixture = 5y and 4y (y = Variable)
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 = 5ax + 5by
Total water = 3ax+4by
Now
(5ax+4by) : (3ax+4by) = 4:3
15ax+12by = 12ax+16by
3ax = 4by
3ax/b = 4y
a/b = 4y/3x
a:b = 4y:3x (answer)
Answer:
1:3
Step-by-step explanation:
5x and 3y(milk and water)first ratio
5y and 4y(milk and water )second ratio
a:b(milk and water )new ratio
5ax and 3 ax
5yb and 4 yb
5ax+5by÷3ax+4by=4÷3
15ax+15by=12ax+16by
15ax-12ax=16by-15by
3ax=1by
ax÷by=1÷3
a:b=1:3