Question

Suppose on average 2 penguins have 750000 feathers between them, 1 pillow requires 1283 feathers, 3 hippies need 16 pillows total to sleep, a treehouse can fit 8 hippies, and you need 322 planks of wood to build a treehouse. However, the hippies require that the wood for the treehouses be from recycled bongos, which will give you 5 planks of wood each. If you have 11 penguins, how many bongos do you need?

Answer 1

Answer :

The correct answer total bongo required = 4830

Given : 1) 2 penguins gives 750000 feathers

           2)  1 pillow needs 1283 feathers

         3)    3 hippies needs 16 pillows

         4)  8 hippies need 1 treehouse

         5)     1 tree house needs 322 planks

and   6)    1 bongo gives 5 planks

Asked : Bongos needed if   there are 11 penguins.

Following steps can be used to find number of bongos :

Step 1 : Calculate total feathers given by 11 penguins :

2 penguins gives 750000 feathers

$1 penguin will give = \frac{750000 feathers}{2 penguins}$

Hence , $11 penguins can give = \frac{750000 feathers}{2 penguins} * 11 penguins$

Hence total feathers = 4125000 feathers .

Step 2 : To calculate total pillows formed :

1283 feathers  forms 1 pillow

$1 feathers will form pillows = \frac{1 pillow}{1283 feathers }$

$4125000 feathers will form pillow = \frac{1 pillow}{1283 feathers } * 4125000 feathers$

Total pillow formed = 3215 pillows

Step 3: To find total hippies :

16 pillows is are needed by 3 hippies

$1 pillow will be needed by = \frac{3 hippies}{16 pillow}$

$3215 pillows needed by hippies = \frac{3 hippies}{16 pillows} * 3215 pillows$

Total hippies = 603

Step 4 : To find total tree house needed :

8 hippies needs 1 treehouse

$1 hippie will need treehouse = \frac{1 treehouse}{8 hippies}$

$603 hippies need treehouse = \frac{1 treehouse }{8 hippies} * 603 hippies$

Total treehouse needed =  75

Step 5 : To find total planks

1 treehouse needs 322 planks

75 treehouses will need  = 75 * 322 planks

Total planks needed = 24150

Step 6:  To calculate Bongos:

5 planks given by 1 bongo

$1 plank given by bongo = \frac{1 bongo}{5 planks}$

$24150 planks given by bongos = \frac{1 bongo}{5 planks} * 24150 planks$

Total bongos needed = 4830

Hence  if 11 penguins are present , bongos needed = 4830 .