A 63 liter mixture contains milk and water in a ratio of 4:5. Then xliters of milk and y liters of water are added to the mixture, resulting in a milk to water ratio of 7.5. Finally, 60 liters of the mixture are drained and replaced with 60 liters of water, resulting in a milk to water ratio of 7:8 What is the value of xy?
Answers
Correct option is
D
60
Ratio of milk and water=2:1
2+1=3
Quantity of milk in mixture =
3
2
×60=40L
Quantity of water=60−40=20
To make ratio 1:2 we add 60L water to the mixture.
40:80=1:2Step-by-step explanation:
Correct Question -
A 63 liter mixture contains milk and water in a ratio of 4:5. Then xliters of milk and y liters of water are added to the mixture, resulting in a milk to water ratio of 7.5. Finally, 60 liters of the mixture are drained and replaced with 60 liters of water, resulting in a milk to water ratio of 7:8 What is the value of x + y?
The value of x + y is 237
Given:
Quantity of mixture = 63L
Milk to water ratio = 4:5
Final milk to water ratio = 7:5
Quantity drained = 60L
Water replaced = 60L
New milk to water ratio = 7:8
To Find:
The value of x + y
Solution:
According to the question -
4p + 5p = 63
9p = 63
p = 7
Now,
Let z = x + y
Final Volume = 63 + z
The volume of water before and after all the combinations.
= 5/12 ( 3 + z) + 60 = 8/15 ( 63 + z) [ Final ratio = 7:5, new ratio = 7:8]
On solving we will get -
= x + y = 237
Answer: The value of x + y is 237
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