Answer: 240
Explanation:
Let's denote the total number of passengers on the plane as "P."
Given the information:
2/5 of the passengers were British: (2/5)P
35% of the passengers were French: 0.35P
There are 60 Spanish passengers: 60
The total number of passengers can be expressed as the sum of passengers from each nationality:
Total Passengers = British Passengers + French Passengers + Spanish Passengers
Total Passengers = (2/5)P + 0.35P + 60
Now, we can solve for the total number of passengers (P):
Total Passengers = (2/5)P + 0.35P + 60
To combine the fractions, we can find a common denominator. The common denominator of 5 and 100 is 100, so let's convert 2/5 to a fraction with a denominator of 100:
(2/5)P = (2/5) * (20/20) * P = (40/100)P
Now, the equation becomes:
Total Passengers = (40/100)P + 0.35P + 60
Combine the two fractions:
Total Passengers = (40/100)P + (35/100)P + 60
Total Passengers = (75/100)P + 60
Now, we can simplify the fraction:
Total Passengers = (3/4)P + 60
We know that the total number of passengers is equal to P:
P = (3/4)P + 60
Subtract (3/4)P from both sides:
(1/4)P = 60
Now, isolate P by multiplying both sides by 4:
P = 4 * 60
P = 240
So, the total number of passengers on the plane is 240.