A poultry farmer realized 200 eggs from his birds and sold 5 \(\frac{1}{2}\) crates of eggs. What percentages of eggs are left?

To determine the percentage of eggs left, we need to first calculate the total number of eggs produced by the poultry farmer. We know that the farmer produced 200 eggs, but we need to convert the 5 1/2 crates of eggs sold into a number of eggs. Let's assume that one crate contains 30 eggs (this may vary depending on the size of the crate, but for the purposes of this example, we'll use 30). 5 1/2 crates can be written as 5 + 1/2 crates, which is equivalent to 5 crates + 0.5 x 30 eggs = 5 crates + 15 eggs. So the farmer sold a total of 5 x 30 + 15 = 165 eggs. To find the percentage of eggs left, we can subtract the number of eggs sold (165) from the total number of eggs produced (200) and then divide the result by the total number of eggs and multiply by 100 to get the percentage: Percentage of eggs left = ((200 - 165) / 200) x 100 = 35 / 2 = 17.5% Therefore, the answer is option (C) 17.5%.