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If Ann saves x dollars each week and Beth saves y dollars ea

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If Ann saves x dollars each week and Beth saves y dollars ea [#permalink]

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

If Ann saves x dollars each week and Beth saves y dollars each week, what is the total amount that they save per week?

(1) Beth saves $5 more per week than Ann saves per week.
(2) It takes Ann 6 weeks to save the same amount that Beth saves in 5 weeks.

Data Sufficiency
Question: 6
Category: Algebra Simultaneous equations
Page: 153
Difficulty: 550


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Re: If Ann saves x dollars each week and Beth saves y dollars ea [#permalink]

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New post 27 Dec 2013, 05:36
SOLUTION

If Ann saves x dollars each week and Beth saves y dollars each week, what is the total amount that they save per week?

We need to find the value of x+y.

(1) Beth saves $5 more per week than Ann saves per week --> y=x+5. Not sufficient.

(2) It takes Ann 6 weeks to save the same amount that Beth saves in 5 weeks --> 6x=5y. Not sufficient.

(1)+(2) We have two distinct linear equations with two unknowns, thus we can solve for both and get the value of x+y. Sufficient.

Answer: C.
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Re: If Ann saves x dollars each week and Beth saves y dollars ea [#permalink]

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New post 28 Dec 2013, 05:32
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If Ann saves x dollars each week and Beth saves y dollars each week, what is the total amount that they save per week?

(1) Beth saves $5 more per week than Ann saves per week.
(2) It takes Ann 6 weeks to save the same amount that Beth saves in 5 weeks.

Ann : x / week
Beth: y / week

To find: x + y

Statement 1:
y = 5 + x
Or, x + y = 5 + 2x
x + y has many values for different x.
Not sufficient.

Statement 2:
6x = 5y
Or, x = (5/6)y
x has different value for different y.
Not sufficient.

Combining statements (1) and (2)
y = 5 + x
Or, y = 5 + (5/6)y
Or, (1/6)y = 5
Or, y = 30
So, x = (5/6)*30
Or, x = 25
Or, x + y = 25 + 30 = 55
Sufficient.

Hence, answer is (C).

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Re: If Ann saves x dollars each week and Beth saves y dollars ea [#permalink]

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New post 30 Dec 2013, 02:52
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If Ann saves x dollars each week and Beth saves y dollars each week, what is the total amount that they save per week?

(1) Beth saves $5 more per week than Ann saves per week.
(2) It takes Ann 6 weeks to save the same amount that Beth saves in 5 weeks.

Sol:

So we need to find the x+y =??

From St 1, we have y=x+5 or Total savings ie. x+y= 2x+5----> Clearly not sufficient as x can have any value. So A and D ruled out
From St 2, we have 6 weeks of Ann savings equals Beth's savings of 5 weeks so we have 6x= 5y. So St 2 is not sufficient so B ruled out

Combining we get that 6x= 5y and y= x+5....On Solving we get 6x/5= x+5 or 6x= 5x+25 or x=25 and y =30.

so x+y = $55.
Ans C
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Re: If Ann saves x dollars each week and Beth saves y dollars ea [#permalink]

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New post 15 Jan 2015, 00:08
stmt1 : Beth saves $5 more per week than Ann saves per week.
Ann = X; Beth =Y=>X+5;
Not Sufficient.

STMT2 : It takes Ann 6 weeks to save the same amount that Beth saves in 5 weeks.
6x =5y
Not Sufficient.

Combining i & ii we get ,
6X= 5(x+5) => x=25;
y=30;
They together save 30+25 = 55$;

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Re: If Ann saves x dollars each week and Beth saves y dollars ea [#permalink]

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Re: If Ann saves x dollars each week and Beth saves y dollars ea   [#permalink] 15 Oct 2017, 08:34
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