Answer:
6037.2 pounds of bamboo shoots does the female panda eat.
Step-by-step explanation:
Total pandas = 3
Total bamboo shoots eaten = 18112 pounds
Let baby panda eats bamboo = x
Male panda eats bamboo= 3x
Female panda eats bamboo = 2x
So, the equation will become
![x+3x+2x=18112](https://tex.z-dn.net/?f=x%2B3x%2B2x%3D18112)
Now solving the equation to find value of x
![x+3x+2x=18112\\6x=18112\\x=\frac{18112}{6}\\x=3018.6](https://tex.z-dn.net/?f=x%2B3x%2B2x%3D18112%5C%5C6x%3D18112%5C%5Cx%3D%5Cfrac%7B18112%7D%7B6%7D%5C%5Cx%3D3018.6)
The value of x we get : x=3018.6
So, baby panda eats bamboo shoots = 3018.6 pounds
Male panda eats bamboo shoots = 3x = 3(3018.6) = 9055.8 pounds
Female panda eats bamboo shoots = 2x = 2(3018.6)= 6037.2 pounds
So, 6037.2 pounds of bamboo shoots does the female panda eat.