A mixture contains milk and water in the ratio 6 : 1 on adding 6 litres of water the ratio milk to water becomes 6 : 2.?
The quantity of milk in the mixture is
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answers:
sepia say: A mixture contains milk and water in the ratio 6 : 1
on adding 6 liters of water the ratio of milk to water becomes 6 : 2.
The quantity of milk in the mixture is
Given milk and water are in the ratio 6 : 1
∴ Assuming initial milk = 6x liters and water = x liters
Let 6x and x be quantity of milk and water originally.
On adding 6L of water , Water becomes x + 6
The new ratio is 6x/x + 6 = 6/2
12x = 6x + 36
6x = 36
x = 6
So quantity of milk in original mixture = 6x = 36L
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Iggy Rocko say: Let x be the amount of milk in liters. This makes the original amount of water x/6.
x:(x/6 + 6) = 6:2
x/(x/6 + 6) = 6/2
x/(x/6 + 6) = 3
x = x/2 + 18
x/2 = 18
x = 36
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Fido say: 6 x 6 = 36 litres of milk
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037 G say: let x be the initial volume of water.
Starting mixture is 6x of milk to x of water (given) so 6x/x = 6/1
adding 6L of water makes the new water volume 6+x liter
Equation for new mixture is
6x / (x+6) = 6/2 = 3
solve for x to get
x = 6
So Milk (6x) is 36 liters
Water was x or 6 liters initially then went to 6+6 or 12 Liters
Final combined volume is 36 + 12 = 48 Liters
Initial volume was 42 Liters of milk & water.
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geezer say: This is simple mental arithmetic
If adding 6 litres of water
changes the ratio of milk to water
from 6 : 1 to 6 : 2
then every 1 part is 6 litres.
so as there are 6 parts milk
that is 36 litres
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khalil say: initial total volume ....v
amount of milk = 6v/7
on adding 6 lit water the volume .. v + 6
amount of milk =( 6/8) (v + 6)
6v/7 = (3/4)(v + 6)
v = 42 lit
amount of milk = 6*42/7 = 36 lit
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Como say: --
Milk_________Water
6x_____________x
6x__________x + 6
6x / (x + 6) = 6 / 2
12x = 6x + 36
6x = 36
x = 6
Quantity of milk is 36 litres
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Mike G say: Initial quantity = 6k L of milk and k L of water
New quantity = 6k L of milk and (6+k) L of water
6k/(6+k) = 3
6k = 18+3k
k = 6
Initial quantity = 36L of milk and 6L of water
New quantity = 36L of milk and 12L of water
Answer 36L of milk
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