At a zoo 3 pandas eat a total of 181.5 pounds of bamboo shoots each day. the male eats 3 times as much as the baby. the female eat twice as much. how many pounds of bamboo shoots does the female panda eat?

At a zoo it has been found that the total amount of bamboo shoots eaten by 3 pandas in a day is 181.5 pounds. Also it is given that the male panda eats 3 times as that of the baby panda and the female panda eats 2 times as that of the baby panda.
Let us assume that the amount of bamboo shoot eaten by the baby panda in a day = X
The amount of bamboo shoots eaten by the male panda in a day = 3X
Amount of bamboo shoots eaten by the female panda in a day = 2X
Then
X + 3X + 2X = 181.5
6X = 181.5
X = 181.5/6
   = 30.25
So the baby panda eats a total of 30.25 pounds of bamboo shoots in a day.
The amount of bamboo shoots eaten by the female panda in a single day = 2 * 30.25
                                                                                                                       = 60.50
So the female panda eats 60.50 pounds of bamboo shoots in a day.