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Water is poured from a full 5-liter jug into two identical
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15 Feb 2017, 10:06
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Water is poured from a full 5-liter jug into two identical glasses until all three containers are each 3/4 full. What is the capacity, in liters, of one glass?
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15 Feb 2017, 18:07
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GMATPrepNow wrote:
Water is poured from a full 5-liter jug into two identical glasses until all three containers are each 3/4 full. What is the capacity, in liters, of one glass?
A) 5/6 B) 8/9 C) 9/8 D) 6/5 E) 5/3
Let x = the capacity of each glass (in liters) So, if the glass is 3/4 full, then (3/4)x = the amount of water in one glass So, (2)(3/4)x = the amount of water in TWO glasses
IMPORTANT: the volume of water IN the TWO glasses is equal to the volume of water that was poured OUT of the 5-liter jug. Since the 5-liter jug ends up being 3/4 full, we can conclude that 1/4 of the water was poured OUT of the 5-liter jug. So, (1/4)(5) = the volume of water that was poured OUT of the 5-liter jug.
Now we'll set up a "word equation" Volume of water IN the TWO glasses = volume of water poured OUT of the 5-liter jug We get: (2)(3/4)x = (1/4)(5) Simplify: 6x/4 = 5/4 Multiply both sides by 4 to get: 6x = 5 Solve: x = 5/6
Water is poured from a full 5-liter jug into two identical
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15 Feb 2017, 14:49
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GMATPrepNow wrote:
Water is poured from a full 5-liter jug into two identical glasses until all three containers are each 3/4 full. What is the capacity, in liters, of one glass?
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15 Feb 2017, 18:15
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GMATPrepNow wrote:
Water is poured from a full 5-liter jug into two identical glasses until all three containers are each 3/4 full. What is the capacity, in liters, of one glass?
A) 5/6 B) 8/9 C) 9/8 D) 6/5 E) 5/3
Another approach:
Since the 5-liter jug ends up being 3/4 full, we can conclude that 1/4 of the water was poured OUT of the 5-liter jug. 1/4 of 5 liters = (1/4)(5) = 5/4 liters
Equal amounts of those 5/4 liters were poured into EACH of the two glasses. So, (1/2)5/4 liters = volume of water poured into ONE glass Simplify to get: 5/8 liters = volume of water poured into ONE glass
That volume of 5/8 liters represents 3/4 of the capacity of the glass. So, if we let c = the capacity of the glass, then 3/4 of c = 5/8 liters In other words, (3/4)c = 5/8 To solve, multiply both sides by 4/3 to get: c = (4/3)5/8) = 20/24 = 5/6
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15 Feb 2017, 23:00
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GMATPrepNow wrote:
Water is poured from a full 5-liter jug into two identical glasses until all three containers are each 3/4 full. What is the capacity, in liters, of one glass?
A) 5/6 B) 8/9 C) 9/8 D) 6/5 E) 5/3
*Kudos for all correct solutions
• Since all three containers are \(\frac{3}{4}\)th full at the end.
• We can infer that from the jug, we poured \((1-\frac{3}{4})*5\) litre in the identical glasses.
• Therefore in each glass, water poured would be \(\frac{1}{2}\) of \((1 - \frac{3}{4})*5\)
• If the capacity of the glass is \(G\), then -
• \(\frac{3}{4} * G =\frac{1}{2} * (1-\frac{3}{4})*5\)
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Re: Water is poured from a full 5-liter jug into two identical
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23 Aug 2018, 06:02
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GMATPrepNow wrote:
Water is poured from a full 5-liter jug into two identical glasses until all three containers are each 3/4 full. What is the capacity, in liters, of one glass?
A) 5/6 B) 8/9 C) 9/8 D) 6/5 E) 5/3
*Kudos for all correct solutions
This is how i solved
after the glasses were pored the jar was left 3/4 full = 3/4* 5 = 3.75 Ltrs Which means 1.25 ltrs was poured in total to both the glasses combined perglass = 1.25 /2 = .625 ltrs =
.625 ltrs 3/4full so full would be by unitry method 625/1000 = 3/4X ( Here X is the full capacity of the glass ) cross multiply and get 125/150 = 5/6 = ANS A
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28 Jan 2019, 00:55
Since the 5 liter jug ends up remaining filled to 3/4th of its capacity after the water is removed from it, we can say the following:
3/4x + 3/4x = 1/4*5 (assuming x to be the total volume of each of the two glasses into which water is filled) 3/4 (2x) = 5/4 x = 5/6 (Option A)
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