A train arrives at the station with 150 passengers on board. \( \frac{2}{5} \) of the passengers get off the train in Seattle, and then 35 passengers board the train. How many passengers are on the train when it leaves the station?
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To find out how many passengers are on the train when it leaves the station, we first need to calculate how many passengers get off in Seattle. \( \frac{2}{5} \) of 150 passengers is calculated as follows: \[ \frac{2}{5} \times 150 = 60 \] So, 60 passengers get off the train. Next, we subtract the number of passengers who got off from the original number of passengers: \[ 150 - 60 = 90 \] After that, 35 new passengers board the train: \[ 90 + 35 = 125 \] Therefore, the number of passengers on the train when it leaves the station is 125.