A herd of dromedaries and camels is walking in the desert. There are 60 animals and 95 humps. How many camels are there? And how many dromedaries?
P.S.: We assume here that they could be in the same herd even though it is highly impossible, as they don’t live on the same continent!
Reminder: dromedaries have one hump and camels two.
Solutions
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Let be the number of dromedaries, and be the number of camels.
There are 60 animals in total, so .
Because dromedaries each have one hump, and camels two, the total number of humps is .
This is a linear system with two unknowns, and :
To solve it, we could subtract the first line from the second line, obtaining . Plugging this back into the first line gives .
Therefore, there are 25 dromedaries and 35 camels.
