<image>The school is planning to organize a trip for teachers to Longzhong to participate in the Zhuge Liang Cultural Festival during the May Day holiday. Two travel agencies, A and B, offer discounts for teachers. Suppose the number of teachers participating in the cultural festival is x, and the actual fees charged by travel agencies A and B are y₁ and y₂, respectively. Their function graphs are shown in the image. Based on the information from the graphs, please answer the following questions:

(1) When the number of participating teachers is how many, do the two travel agencies charge the same fee?
(2) When the number of participating teachers is how many, is it more economical to choose travel agency A?
(3) If there are a total of 50 participants, which travel agency is more economical to choose?