At a zoo, 3 pandas eat a total of 181 1/2 pounds of bamboo shoots each day. The male panda eats 3 times as much as the baby. The female eats twice as much as the baby. How many pounds of bamboo shoots does the female panda eat?
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To find out how many pounds of bamboo shoots the female panda eats, we first need to find out how much the baby panda eats.
Let's assume the baby panda eats x pounds of bamboo shoots each day.
The male panda eats 3 times as much as the baby, so the male panda eats 3x pounds of bamboo shoots each day.
The female panda eats twice as much as the baby, so the female panda eats 2x pounds of bamboo shoots each day.
The total amount of bamboo shoots eaten by all three pandas is 181 1/2 pounds, which can be written as 181.5.
So, we can form the equation:
x + 3x + 2x = 181.5
Simplifying the equation, we get:
6x = 181.5
Now, divide both sides of the equation by 6:
x = 181.5 / 6
x ≈ 30.25
Now that we know the baby panda eats approximately 30.25 pounds of bamboo shoots, we can find out how much the female panda eats. Given that the female panda eats twice as much as the baby, we can multiply the baby's amount by 2:
2 * 30.25 = 60.5
Therefore, the female panda eats approximately 60.5 pounds of bamboo shoots each day.