Professor Terrill has several tarantulas and frogs. She counts 104 legs and 80 eyes in the room. How many of each creature does she have?
Hi!
This is a double equation thing(I don't know the name)
Let x = number of tarantulas
Let y = number of frogs
If frogs have 4 legs and 2 eyes, and tarantulas have 8 legs and 8 eyes, then we can set up two equations, one for the legs and one for the eyes.
For the eyes:
8x + 2y = 80
For the legs:
8x + 4y = 104.
Now, we combine the equations.
8x + 2y = 80
-
8x + 4y = 104
------------------------
-2y = -24
/-2 /-2
-------------------
y = 12
y represents the number of frogs, so there are 12 frogs.
I think you can take the rest from here. :)
Hope this helps!