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# Ps: Quick Calc Needed!

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Eternal Intern
Joined: 07 Jun 2003
Posts: 463

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Location: Lone Star State

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24 Jul 2003, 18:32
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A merchant paid \$300 for a shipment of x identical calculators. The merchant used 2 of the calculators as demonstrators and sold each of the others for \$5 more than the average (arithmetic mean) cost of the x calculators. If the total revenue from the sale of the calculators was \$120 more than the cost of the shipment, how many calculators were in the shipment?

Why doesn't this work, baby?

x-2 * ( 5 + 300/ x) =420

Kudos [?]: 169 [0], given: 0

Manager
Joined: 24 Jun 2003
Posts: 144

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Location: India
Re: Ps: Quick Calc Needed! [#permalink]

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24 Jul 2003, 22:58
Curly05 wrote:
A merchant paid \$300 for a shipment of x identical calculators. The merchant used 2 of the calculators as demonstrators and sold each of the others for \$5 more than the average (arithmetic mean) cost of the x calculators. If the total revenue from the sale of the calculators was \$120 more than the cost of the shipment, how many calculators were in the shipment?

Why doesn't this work, baby?

x-2 * ( 5 + 300/ x) =420

Curly,

you don't need to use the longer route. We know that \$120 profit is made from selling (X-2) calculators at a profit of \$5 on each. Therefore, the equation to be used is

(x-2)*5=120 which gives x=26.

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Manager
Joined: 22 Jul 2003
Posts: 60

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Location: CA

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25 Jul 2003, 08:39
A merchant paid \$300 for a shipment of x identical calculators. The merchant used 2 of the calculators as demonstrators and sold each of the others for \$5 more than the average (arithmetic mean) cost of the x calculators. If the total revenue from the sale of the calculators was \$120 more than the cost of the shipment, how many calculators were in the shipment?

Your equation was almost right, Curly05.
(x-2) * ( 5 + 300/ x) =420
=> 5x - 600/x - 10 + 300 = 420
=> 5x^2 - 130x - 600=0
=> x^2 - 26x - 120 = 0

Solving we get, x = 30 or x = -4
x cannot be negative as it is the number of calculators
So, there were 30 calculators.
_________________

P K Das

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25 Jul 2003, 08:39
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