From a solution of milk and water 70 litre
is taken out and replaced with water, then
milk water ratio becomes 8:7. If 140 litre
would have been replaced with water then
ratio would be 5:7. Find water quantity in
initial?
Answers
Answer:
solution of milk and water 7O litre is taken out and replaced with water, then milk water ratio becomes 8:7. If 140 litre would have been replaced with water then ratio would be 5:7.
Step-by-step explanation:
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Answer:
Ratio of milk and water in 70 litres of mixture = 5:2
Quantity of milk initially = \frac{5}{7}
7
5
×70 = 50 litres
Quantity of water initially = \frac{2}{7}
7
2
×70 = 20 litres
Let us assume x litres of mixture was removed.
After removal and adding 7 litres of milk and water
Quantity of milk = 50 - \frac{5x}{7}
7
5x
+7
Quantity of water = 20 -\frac{2x}{7}
7
2x
+7
Hence,\frac{50- \frac{5x}{7} +7 }{20- \frac{2x}{7}+7 } = \frac{7}{4}
20−
7
2x
+7
50−
7
5x
+7
=
4
7
=>200 - \frac{20x}{7}
7
20x
+ 29 = 140 -2x +49
=> 228 - 189 = \frac{20x}{7}
7
20x
- 2x
=> \frac{6x}{7} = 39
7
6x
=39
=> x = 45.5 litres
Ans: Quantity of mixture taken out initially was 45.5 litres.