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Samir and Ben are planning a day trip with their friends. Samir wants to go to a waterpark that charges $\$40$ per person for admission, plus $\$5$ per person for tube rentals. Ben wants to go to a rock-climbing gym that charges $\$150$ to rent the facility, plus an additional $\$20$ per person.$\newline$Which equation can you use to find $p$, the number of people who would need to go on the trip for the two options to cost the same?$\newline$Choices:$\newline$(A) $40p + 5 = 150 + 20p$$\newline$(B) $40p + 5p = 150 + 20p$$\newline$How many people would need to go on the trip for the two options to cost the same?$\newline$$\_\_\_$ people$\newline$