A museum curator is cataloging a collection of historical telescopes. She notes that the number of refracting telescopes is 3 more than twice the number of reflecting telescopes. If there are 11 reflecting telescopes, how many total telescopes are in the collection?
["Title: Decoding a Collection of Historical Telescopes: A Curator’s Breakdown", "A museum curator recently embarked on a fascinating journey cataloging a unique collection of historical telescopes, each offering a window into the evolution of astronomical observation. By carefully analyzing the counts, she uncovered a compelling relationship between two types of telescopes: refracting and reflecting models.", "According to her findings, the number of refracting telescopes in the collection is defined by a precise mathematical relationship. Specifically, the number of refracting telescopes is 3 more than twice the number of reflecting telescopes. This relationship provides a clear way to calculate the total number of instruments.", "Given that there are 11 reflecting telescopes, the curator determined the number of refracting telescopes as follows:\nTwice the number of reflecting telescopes is $ 2 \ imes 11 = 22 $, and adding 3 gives $ 22 + 3 = 25 $ refracting telescopes.", "To find the total number of telescopes in the collection, the curator simply adds the two types together:\n11 reflecting + 25 refracting = 36 total telescopes.", "Beyond mere numbers, this discovery highlights the blend of scientific history and meticulous documentation in museum curation. Each telescope tells a story—of innovation, exploration, and human curiosity. By quantifying these artifacts, the curator not only preserves their legacy but also enables deeper public engagement with science’s rich past.", "Whether you’re a history buff, a science enthusiast, or a casual visitor, understanding the breakdown of such collections adds meaningful context to the instruments that shaped our view of the stars. With 36 historical telescopes now cataloged and celebrated, the museum continues to illuminate the past with precision and purpose."]
