Hi Brent. In the related video that you posted for this question you performed an equation with Curly, Moe and Larry's age. I just wanted to ask how did you go from 2M+10 to 4M+15. Before that you did 2*M= 2M and 2*5=10 which I understand but I don't see how we went from it to 4M+15
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
Answer: A
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