Final answer:
To find the total number of birds in the farm, we can set up an equation and solve for 'x'.
Step-by-step explanation:
Let's start by finding the total number of birds in the farm. We are given that 4/5 of the birds are pigeons, 5/8 of the birds are chickens, and the remaining 8 birds are roosters.
Let's represent the total number of birds in the farm as 'x'. So, 4/5 of x is the number of pigeons, 5/8 of x is the number of chickens, and 8 is the number of roosters.
We can write the equation:
(4/5)x + (5/8)x + 8 = x
To solve this equation, we can multiply each term by the least common multiple (LCM) of the denominators, which is 40.
After solving the equation, we find that the total number of birds in the farm is 40.
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