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# Alan and Sue have each been saving one dollar a day and will continue

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Re: Alan and Sue have each been saving one dollar a day and will continue [#permalink]
Though I understood the solution but I had a question :-

what do we mean by one-half in the phrase in how many days from today will Alan have saved one-half as much as Sue?

one-half is 0.5 or 1.5 ?

(Although 0.5 is indeed logical as 1.5 would bring negative answer)
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Re: Alan and Sue have each been saving one dollar a day and will continue [#permalink]
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rsrighosh
Though I understood the solution but I had a question :-

what do we mean by one-half in the phrase in how many days from today will Alan have saved one-half as much as Sue?

one-half is 0.5 or 1.5 ?

(Although 0.5 is indeed logical as 1.5 would bring negative answer)

It is to be interpreted as 0.5.
One-half means we have one "half"--> one "0.5"
Two-halves means we have two "halves"--> two "0.5" = 1

"1.5" would be said as "One and a half"

+1 Kudos if you like the explanation
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Alan and Sue have each been saving one dollar a day and will continue [#permalink]
nick1816
Assume 'x' days from today, Alan will save 1/2 as much as Sue.

Statement 1-
$$(7+x)=\frac{1}{2}(27+x)$$
x=13

Sufficient

Statement 2-
Savings by Alan, as of today= A
Savings by Sue, as of today= S

$$(A+3)=\frac{1}{3}(S+3)$$

Also, $$(A+x)=\frac{1}{2}(S+x)$$

We have 2 equations and 3 unknowns (A, S and x)

Insufficient

gmatt1476
Alan and Sue have each been saving one dollar a day and will continue to do so for the next month. If Sue began saving several days before Alan, in how many days from today will Alan have saved one-half as much as Sue?

(1) As of today, Alan has saved 7 dollars and Sue has saved 27 dollars.
(2) Three days from today, Alan will have saved one-third as much as Sue.

DS89302.01

Hi nick1816

OA explanation mentions d=20. even i think it should be 13. The answer takes S=27 as the time before Ala started saving.

Hi Bunuel,

Can you plz. confirm and check the correct value of d
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Re: Alan and Sue have each been saving one dollar a day and will continue [#permalink]
gmatt1476
Alan and Sue have each been saving one dollar a day and will continue to do so for the next month. If Sue began saving several days before Alan, in how many days from today will Alan have saved one-half as much as Sue?

(1) As of today, Alan has saved 7 dollars and Sue has saved 27 dollars.
(2) Three days from today, Alan will have saved one-third as much as Sue.

DS89302.01

Question: Alan and Sue have each been saving one dollar a day and will continue to do so for the next month. If Sue began saving several days before Alan, in how many days from today will Alan have saved one-half as much as Sue?

Let’s say $$a$$ is the total amount of dollar that Sue saved earlier than Alan, $$x$$ is the total amount of dollar,including today, Sue and Alan started to save at the same time, and $$y$$ is the total amount of dollar that Sue and Alan will save in the future.

We want to know that in how many days from today will Alan have saved one-half as much as Sue.
Therefore, when $$(x+y)$$ equals to $$\frac{a+x+y}{2}$$, the value of $$y$$ will indicate how many days have passed from today that Alan have saved one-half as much as Sue.

(1) As of today, Alan has saved 7 dollars and Sue has saved 27 dollars.

-> At the end of today, Alan has saved $$x=7$$, and Sue has saved $$a+x=27$$.
-> Substitute to the original equation, $$7+y=\frac{27+y}{2}$$->$$y=13$$.
-> Therefore, in 13 days from today, Alan will save one-half as much as Sue.
-> Sufficient

(2) Three days from today, Alan will have saved one-third as much as Sue.

-> $$x+3=\frac{a+x+3}{3}$$
-> we can’t find value of $$x$$ and $$a$$
-> Insufficient

Posted from my mobile device
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Alan and Sue have each been saving one dollar a day and will continue [#permalink]
1
Kudos
gmatt1476
Alan and Sue have each been saving one dollar a day and will continue to do so for the next month. If Sue began saving several days before Alan, in how many days from today will Alan have saved one-half as much as Sue?

DS89302.01

(1) As of today, Alan has saved 7 dollars and Sue has saved 27 dollars.

We're told that each person will continue to save one dollar a day. At some point, Alan will save half of what Sue has. We don't need to calculate this -- simply knowing we can is enough. SUFFICIENT.

(2) Three days from today, Alan will have saved one-third as much as Sue.

We have a ratio -- not enough information. INSUFFICIENT.

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Re: Alan and Sue have each been saving one dollar a day and will continue [#permalink]
shanks2020
nick1816
Assume 'x' days from today, Alan will save 1/2 as much as Sue.

Statement 1-
$$(7+x)=\frac{1}{2}(27+x)$$
x=13

Sufficient

Statement 2-
Savings by Alan, as of today= A
Savings by Sue, as of today= S

$$(A+3)=\frac{1}{3}(S+3)$$

Also, $$(A+x)=\frac{1}{2}(S+x)$$

We have 2 equations and 3 unknowns (A, S and x)

Insufficient

gmatt1476
Alan and Sue have each been saving one dollar a day and will continue to do so for the next month. If Sue began saving several days before Alan, in how many days from today will Alan have saved one-half as much as Sue?

(1) As of today, Alan has saved 7 dollars and Sue has saved 27 dollars.
(2) Three days from today, Alan will have saved one-third as much as Sue.

DS89302.01

Hi nick1816

OA explanation mentions d=20. even i think it should be 13. The answer takes S=27 as the time before Ala started saving.

Hi Bunuel,

Can you plz. confirm and check the correct value of d

I came to this forum just to see if the OA was wrong! I also thought d in the OA should have been 13. I wasn't sure if I missed something
Re: Alan and Sue have each been saving one dollar a day and will continue [#permalink]
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