Final answer:
Lucy spent approximately $73.81 on accommodation for the trip.
Step-by-step explanation:
To find out how much Lucy spent on accommodation, we need to set up an equation. Let's say she spent x dollars on food. According to the problem, she spent 5 times as much on local transportation, which is 5x dollars. She spent 6 times as much on flight tickets, which is 6x dollars. And finally, she spent 9 times as much on accommodation, which is 9x dollars. The total amount she spent on the trip is $1,550. So, we can write the equation as: x + 5x + 6x + 9x = 1,550. Simplifying, we get: 21x = 1,550. Solving for x, we divide both sides of the equation by 21: x = 1,550 / 21 = 73.81. Therefore, Lucy spent approximately $73.81 on accommodation for the trip.