Q7. A Fruit drink is made from 25% pure fruit juice and the rest
is water. A barrel contained some amount of this fruit drink,
but then by mistake, 60 litres of water was added to the barrel.
How many litres of pure fruit juice must be added to the
barrel to correct the mistake, so the barrel would again
contain fruit drink with 25% pure fruit juice?
Answers
Answered by
0
Let's call the amount to be found
x
Then you will end up with
x
+
2
L of
25
%
juice
This will contain
0.25
(
x
+
2
)
=
0.25
x
+
0.5
pure juice.
The original 2 L allready contained
0.10
⋅
2
=
0.2
juice
So we added
0.25
x
+
0.3
juice
But this is also
x
(as
x
=
100
%
juice)
→
0.25
x
+
0.3
=
x
→
0.75
x
=
0.3
→
x
=
0.4
liter.
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