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Merlin counted 44 heads and 128 legs in a group of dragons and dragon riders.

 

How many four-legged dragons were in the group?

 

How many two-legged dragon riders were in the group?

 

Please show steps!

Thank You!

 Sep 11, 2016
 #1
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d = number of dragons, r = number of riders

 

Heads:    d + r = 44     (1)

 

Legs:      4d + 2r = 128   (2)

 

From (1) we have r = 44 - d     (3)

 

Use (3) in (2):   4d + 2(44 - d) = 128

                         2d + 88 = 128

                         2d = 40

                           d = 20

 

Use this in (3):   r = 44 - 20 so r = 24

 

.

 Sep 11, 2016

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