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Math Expert V
Joined: 02 Sep 2009
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If Suzy spends s dollars each month and Dave spends d dollars each mon  [#permalink]

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Difficulty:   15% (low)

Question Stats: 87% (00:58) correct 13% (00:43) wrong based on 38 sessions

HideShow timer Statistics If Suzy spends s dollars each month and Dave spends d dollars each month, what is the total amount they together spend per month?

(1) Dave spends \$100 more per month than Suzy spends per month.
(2) It takes Suzy seven months to spend the same amount that Dave spends in six months.

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Re: If Suzy spends s dollars each month and Dave spends d dollars each mon  [#permalink]

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Bunuel wrote:
If Suzy spends s dollars each month and Dave spends d dollars each month, what is the total amount they together spend per month?

(1) Dave spends \$100 more per month than Suzy spends per month.
(2) It takes Suzy seven months to spend the same amount that Dave spends in six months.

Question: What is the total amount they together spend per month = s+d = ?

Statement 1: Dave spends \$100 more per month than Suzy spends per month.

d = 100+s but s is unknown hence

NOT SUFFICIENT

Statement 2: It takes Suzy seven months to spend the same amount that Dave spends in six months

7s = 6d but no exact value of d and s can be calculated hence

NOT SUFFICIENT

Combining the two statements

7s = 6d and d = 100+s

i.e. 7s = 6(100+s)

i.e. unique values of d and s may be calculated hence

SUFFICIENT

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Re: If Suzy spends s dollars each month and Dave spends d dollars each mon  [#permalink]

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If Suzy spends s dollars each month and Dave spends d dollars each month, what is the total amount they together spend per month?

(1) Dave spends \$100 more per month than Suzy spends per month.
(2) It takes Suzy seven months to spend the same amount that Dave spends in six months.

Let salary of Dave be D and suzy be S
We need to find is D+S

Frm stament 1:
D=S+100

two unknown values hence insufficient.
Stmnt 2:

7s=6d
insufficient

Combining both stmnts
7s = 6d
d = 100+s
7s=6(100+s)
s=600
d=700
per month expense D+S=1300\$

IMO C
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If you liked my solution then please give Kudos. Kudos encourage active discussions. Re: If Suzy spends s dollars each month and Dave spends d dollars each mon   [#permalink] 27 Oct 2018, 23:50
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