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

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 = (750000 feathers)/(2 penguins)`

Hence ,
`11 penguins can give = (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  = (1 pillow)/(1283 feathers )`

`4125000 feathers will form pillow = (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 = (3 hippies)/(16 pillow)`

`3215 pillows needed by hippies = (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 = (1 treehouse)/(8 hippies)`

`603 hippies need treehouse =  (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 = (1 bongo)/(5 planks)`

`24150 planks given by bongos = (1 bongo)/(5 planks) * 24150 planks`

Total bongos needed = 4830

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