Respuesta :
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
[tex]1 penguin will give = \frac{750000 feathers}{2 penguins}[/tex]
Hence , [tex]11 penguins can give = \frac{750000 feathers}{2 penguins} * 11 penguins[/tex]
Hence total feathers = 4125000 feathers .
Step 2 : To calculate total pillows formed :
1283 feathers forms 1 pillow
[tex]1 feathers will form pillows = \frac{1 pillow}{1283 feathers }[/tex]
[tex]4125000 feathers will form pillow = \frac{1 pillow}{1283 feathers } * 4125000 feathers[/tex]
Total pillow formed = 3215 pillows
Step 3: To find total hippies :
16 pillows is are needed by 3 hippies
[tex]1 pillow will be needed by = \frac{3 hippies}{16 pillow}[/tex]
[tex]3215 pillows needed by hippies = \frac{3 hippies}{16 pillows} * 3215 pillows[/tex]
Total hippies = 603
Step 4 : To find total tree house needed :
8 hippies needs 1 treehouse
[tex]1 hippie will need treehouse = \frac{1 treehouse}{8 hippies}[/tex]
[tex]603 hippies need treehouse = \frac{1 treehouse }{8 hippies} * 603 hippies[/tex]
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
[tex]1 plank given by bongo = \frac{1 bongo}{5 planks}[/tex]
[tex]24150 planks given by bongos = \frac{1 bongo}{5 planks} * 24150 planks[/tex]
Total bongos needed = 4830
Hence if 11 penguins are present , bongos needed = 4830 .
