The number of seats on the new Icarus 525 airliner is a 36% increase over the old model. The new plane seats 374 passengers. How many passengers did the old model seat?

To find out how many passengers the old model of the Icarus airliner seated, we first need to calculate the percentage increase in seats that the new model has compared to the old model.

Let's assume the number of seats on the old model is x.

According to the given information, the number of seats on the new Icarus 525 airliner is a 36% increase over the old model. This means that the number of seats on the new model is the old model seats plus 36% of the old model seats.

In mathematical terms, this can be expressed as:
Number of seats on the new Icarus 525 airliner = x + 36% of x

This can be simplified as:
Number of seats on the new Icarus 525 airliner = x + (36/100) * x
= x + 0.36x
= 1.36x

We are given that the new plane seats 374 passengers. So, we can set up the equation:
1.36x = 374

To solve for x, we need to divide both sides of the equation by 1.36:
x = 374 / 1.36
x ≈ 275.74

Therefore, the old model of the Icarus airliner seated approximately 276 passengers.

275

(1 + .36) x = 374