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# If the total cost of a housing project with f units is

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Manager
Joined: 28 Apr 2008
Posts: 110
If the total cost of a housing project with f units is  [#permalink]

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29 Nov 2008, 03:07
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If the total cost of a housing project with f units is \$1,750,000, what was the cost per unit for the housing project?

(1) If half as many units were built for the same total price, the cost per unit would be \$250,000.
(2) If six more units had been built for the same total price, the cost per unit would be \$3,750 less.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT SUFFICIENT

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Senior Manager
Joined: 28 Feb 2007
Posts: 293

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29 Nov 2008, 03:53
question is \$1,750,000/f=?
st1) \$1,750,000/(f/2)= 250,000. U can find f. SUFF.
st2) 1,750,000/(f+6)=1,750,000/f - 3750. U can find several f' s but it after eliminating negative fs , the remaining positive one won't be an integer.
Manager
Joined: 23 Nov 2008
Posts: 77

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29 Nov 2008, 13:00
D as well.

You can ignore the negative solution to the quadratic.
Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown

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29 Nov 2008, 17:15
rino wrote:
If the total cost of a housing project with f units is \$1,750,000, what was the cost per unit for the housing project?
(1) If half as many units were built for the same total price, the cost per unit would be \$250,000.
(2) If six more units had been built for the same total price, the cost per unit would be \$3,750 less.

x = cost per unit
fx = 1750,000

stmt1: f/2 * 250,000 = 1750,000 - Suff
stmt2: (f+6)(x-3750) = 1750,000
Two unknown variables with one equation - Not Suff

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Re: DS Eqtns/Inequals &nbs [#permalink] 29 Nov 2008, 17:15
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