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17 Jun 2021, 05:00
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33%
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A full glass of lemonade is a mixture of 20% lime juice and 80% soda. The contents of the glass are poured into a pitcher that is 200% bigger than the glass. The remainder of the pitcher is filled with 16 litres of water. What was the original volume of lime juice in the mixture?
(A) 1.6 litres
(B) 3.2 litres
(C) 4.8 litres
(D) 6.4 litres
(E) 8 litres
(A) 1.6 litres
(B) 3.2 litres
(C) 4.8 litres
(D) 6.4 litres
(E) 8 litres
rocky620
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18 Jun 2021, 02:30
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Let the Original Volume be x liters.
After 200% increase new volume = x+2x = 3x
Also, the increase in volume is filled with 16ltrs of water, i.e. 2x = 16. So, x=8ltrs
Lime juice in original volume = 20% of x => .2*8=1.6ltrs.
Option A.
After 200% increase new volume = x+2x = 3x
Also, the increase in volume is filled with 16ltrs of water, i.e. 2x = 16. So, x=8ltrs
Lime juice in original volume = 20% of x => .2*8=1.6ltrs.
Option A.
General Discussion
18 Jun 2021, 01:37
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Let the original volume of glass is 100 liters.
=> Lime juice = 20% = 20 litres
=> Soda = 80% = 80 litres
Then pitcher is 200% bigger = \(\frac{200}{100} * 100 = 200\) litres.
Total volume = 100 + 200 = 300 liters
=> Volume of Pitcher - Volume of transferred glass content = Remainder
300 litres - 100 litres = 200 liters
Now, 200 liters of the remainder in our equation equal to 16 liters given in the question.
=> 2 * 100 litres = 16 litres
=> So, 100 liters should be equal to 8 liters. [this is the volume of original glass]
In 8 litres of glass, lime juice is 20% = \(\frac{20 }{ 100} * 8 = 1.6\) litres.
Answer A
=> Lime juice = 20% = 20 litres
=> Soda = 80% = 80 litres
Then pitcher is 200% bigger = \(\frac{200}{100} * 100 = 200\) litres.
Total volume = 100 + 200 = 300 liters
=> Volume of Pitcher - Volume of transferred glass content = Remainder
300 litres - 100 litres = 200 liters
Now, 200 liters of the remainder in our equation equal to 16 liters given in the question.
=> 2 * 100 litres = 16 litres
=> So, 100 liters should be equal to 8 liters. [this is the volume of original glass]
In 8 litres of glass, lime juice is 20% = \(\frac{20 }{ 100} * 8 = 1.6\) litres.
Answer A
