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# If Suzy spends s dollars each month and Dave spends d dollars each mon

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Math Expert
Joined: 02 Sep 2009
Posts: 60480
If Suzy spends s dollars each month and Dave spends d dollars each mon  [#permalink]

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24 Oct 2018, 00:43
00:00

Difficulty:

15% (low)

Question Stats:

88% (00:57) correct 13% (00:43) wrong based on 39 sessions

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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.

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

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24 Oct 2018, 02:21
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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27 Oct 2018, 23:50
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
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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