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A certain aquarium feeds its penguins a total of 80 pounds

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A certain aquarium feeds its penguins a total of 80 pounds

by varun289 » Wed Apr 03, 2013 12:44 pm
A certain aquarium feeds its penguins a total of 80 pounds of fish each day. If the aquarium had 6 fewer penguins, and the remaining penguins were fed their usual portions, the aquarium would feed its penguins a total of 15 pounds less fish each day. If each of the penguins receives the same amount of fish each day, how many penguins does the aquarium have?
A

32

Correct Answer
B

38
C

45
D

74
E

80






a?
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by mohit_1607 » Wed Apr 03, 2013 1:24 pm
Let there be a total of X penguins
Now, X penguins are feeded -> 80 pounds of fish each day
1 penguin -> 80/X
6 penguins -> 80/X *6

Since each of the penguins receives the same amount of fish each day,therefore
80/X *6=15 (Because 6 fewer penguins reduced the feed by 15 pounds each day)
therefore, X=32
Option A
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by GMATGuruNY » Wed Apr 03, 2013 5:01 pm
varun289 wrote:A certain aquarium feeds its penguins a total of 80 pounds of fish each day. If the aquarium had 6 fewer penguins, and the remaining penguins were fed their usual portions, the aquarium would feed its penguins a total of 15 pounds less fish each day. If each of the penguins receives the same amount of fish each day, how many penguins does the aquarium have?

A 32
B 38
C 45
D 74
E 80
6 fewer penguins = 15 fewer pounds of fish, implying the following proportion:
(6 penguins)/(15 pounds of fish) = (x penguins)/(80 pounds of fish)
2/5 = x/80
5x = 160
x = 32.

The correct answer is A.
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by vipulgoyal » Wed Apr 03, 2013 9:11 pm
since dite of each pangune is same
let x number of P

80/x = 65/(x-6)
x= 32
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by Lifetron » Wed Apr 03, 2013 9:14 pm
6 penguins = 15 pounds

x = No. of pounds per penguin

x = 15/6

WKT, 80/x = Total penguins = > 80/(15/6) => 32
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by rintoo22 » Fri Apr 05, 2013 12:16 pm
x penguins are fed 80 pounds/day. So 1 penguin will be fed 80/x
if (x-6) penguins were to be fed the same amount then (x-6)*80/x which happens to be 65
so the equation
(x-6)*80/x = 65
80x-480 = 65x
15x=480
x=32 ... Answer A
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