Step 1 :Let x be the total number of children attending the school. Then, we can set up the proportion: \(\frac{550}{x} = \frac{50}{100}\)
Step 2 :Solve for x: \(x = \frac{550 \times 100}{50}\)
Step 3 :Calculate x: \(x = 1100\)
Step 4 :\(\boxed{1100}\) children attend the school.