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The ratio of water and milk in a 30 liter mixture is 7 : 3. Find the quantity of water to be added to the mixture in order to make this ratio 6 : 1.
Answer & Solution
Correct Answer:
Option
C
Here,Let water = 7x and milk = 3x
Now,
7x + 3x = 30
x = 3
So, water = 7x = 7 × 3 = 21 liter
Milk = 3x = 3 × 3 = 9 liter
Now, we keep milk constant and add water to mixture to get ratio 6 : 1
Let water in this mixture = 6y and milk = y
We have, milk = 9 liter, so y = 9 liter
Water = 6y = 6 × 9 = 54 liter
Then extra water to be added is 33 liter
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Loginratio 3 = milk
total ratio (10) = 30 liters
so, 30--------------10 (for milk)
m -------------- 3 (cross multiply)
30 x 3 = m(10)
milk=9
water =21 liters
let x amount of water added to mixture and new ratio is 6 : 1
so, water milk
21+x : 9
6 : 1
(21+x) 1 = 6 x 9
21+x = 54
x=33 ANSWER
Quantity of water in mixture= 30*7/10=21
Quantity of milk in mixture=30*3/10=9
The new ratio is 6:1
So, let water added=x
According to new ratio,
(21+x)/9=6/1
21+x=54
x=33
The extra water added is 33 liters.