If Pool Y currently contains more water than Pool X, and if Pool X is currently filled to 2/7 of its capacity, what percent of the water currently in Pool Y needs to be transferred to Pool X if Pool X and Pool Y are to have equal volumes of water?
(1) If all the water currently in Pool Y were transferred to Pool X, Pool X would be filled to 6/7 of its capacity.
(2) Pool X has a capacity of 14,000 gallons.
Thanks in advance.
Filling the pool
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is the answe A?
let me explain why i think so.Firstly,i am assumimg that the two pools have equal capacity.
A s sufficient because we can deduce using the stem that what is added to pool A is 4/7 q'ty of water(6/7 -2/7) which is the quantity in pool Y and you can proceed from there.
B is not sufficient because it tells us nothing about what is found in Y.We only deduce that pool x needs 10000 more gallons of water.
so answer is A.
let me explain why i think so.Firstly,i am assumimg that the two pools have equal capacity.
A s sufficient because we can deduce using the stem that what is added to pool A is 4/7 q'ty of water(6/7 -2/7) which is the quantity in pool Y and you can proceed from there.
B is not sufficient because it tells us nothing about what is found in Y.We only deduce that pool x needs 10000 more gallons of water.
so answer is A.
touch the sky
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I don't think you need to assume the two pools have equal capacity.
We have
current amount in Y > 2/7X
"If all the water currently in Pool Y were transferred to Pool X, Pool X would be filled to 6/7 of its capacity."
Thanks to this sentence we can infer that the current amount in Y is 4/7X:
4/7X>2/7X
1/7 (+/- 14%) from pool Y has to be transferred to pool X
Agree with A
We have
current amount in Y > 2/7X
"If all the water currently in Pool Y were transferred to Pool X, Pool X would be filled to 6/7 of its capacity."
Thanks to this sentence we can infer that the current amount in Y is 4/7X:
4/7X>2/7X
1/7 (+/- 14%) from pool Y has to be transferred to pool X
Agree with A
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I would have chosen A as well. But I'm having trouble solving the last step. (you dont need to for DS, but I feel like I should be able to)
can you please explain how you get from 4/7x > 2/7x saying that 1/7 of Y must be added to X? Thanks.
can you please explain how you get from 4/7x > 2/7x saying that 1/7 of Y must be added to X? Thanks.
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- Junior | Next Rank: 30 Posts
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quick question. shouldn't the % be 1/7 of 4/7 which is same as 1/4, therefore 25% of the capacity? i agree w/ the answer but wanted to solve the prob...pepeprepa wrote:I don't think you need to assume the two pools have equal capacity.
We have
current amount in Y > 2/7X
"If all the water currently in Pool Y were transferred to Pool X, Pool X would be filled to 6/7 of its capacity."
Thanks to this sentence we can infer that the current amount in Y is 4/7X:
4/7X>2/7X
1/7 (+/- 14%) from pool Y has to be transferred to pool X
Agree with A