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If the total cost of a housing project with f units is $1,750,000, wha

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Bunuel
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If the total cost of a housing project with f units is $1,750,000, wha [#permalink] New post   17 May 2018, 05:56
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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.
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superbenson
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Re: If the total cost of a housing project with f units is $1,750,000, wha [#permalink] New post   17 May 2018, 06:34
let the unit of the houses be N,
from condition 1, we have $1,750,000/(N/2)= $250,000. we could get N and price per unit.
from condition 2, $1,750,000/(N+6)=$1,750,000/N-$3,750

we could calculate N and price per unit from either condition above, thus IMO D.
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Re: If the total cost of a housing project with f units is $1,750,000, wha [#permalink] New post   17 May 2018, 13:04
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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.

Unit cost = (Total Cost)/(Total Units) ---> Unit cost = 1,750,000/(F)

Rephrase: What is f?


1) $250,000 = \(\frac{(1,750,000)}{(.5*f)}\)
- One variable + one equation = sufficient(f= 14)

2) Unit cost - 3750 =\(\frac{(1,750,000)}{(f + 6)}\)
- combined with given info gives two variables + two equations so also sufficient

Answer: D
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Re: If the total cost of a housing project with f units is $1,750,000, wha [#permalink] New post   20 May 2018, 08:26
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.

We need to find the value of 1750000/f.

From stmt 1-
250000 = 1750000/0.5f

Sufficient.

From stmt 2-
No of units f+6

1750000/(f+6) = (1750000/f) - 3750

Sufficient.

Hence (D)
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Re: If the total cost of a housing project with f units is $1,750,000, wha [#permalink] New post   13 Feb 2023, 12:00
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Re: If the total cost of a housing project with f units is $1,750,000, wha [#permalink]
13 Feb 2023, 12:00
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