Answer:
55
Step-by-step explanation:
Assuming that, initially, there were x people at the time of planning.
As given that, initially, the cost for 1 person = € 20
So, Total cost = € 20x ...(i)
As on the day of the outing, five people cannot come, so the number of people on the outing = x-5.
Now, due to the lesser number of people, i.e (x-5), the cost for 1 person = € 22.
Total cost = € 22(x-5) ...(ii)
As total cost remains the same, so equation the total cost from equations (i) and (ii), we have
[tex]20x= 22(x-5) \\\\\Rightarrow 20x=22x-22\times 5 \\\\\Rightarrow 22x-20x= 110 \\\\\Rightarrow 2x=110 \\\\\Rightarrow x=110/2=55.[/tex]
Hence, at the time of planning, there were 55 people.
