Question

The first aircraft has 99 more seats than the second aircraft. The third aircraft has 24 fewer seats than the second aircraft. If their total number of seats is 396, find the number of seats for each aircraft.

A. First aircraft: 165 seats, Second aircraft: 66 seats, Third aircraft: 42 seats
B. First aircraft: 141 seats, Second aircraft: 66 seats, Third aircraft: 189 seats
C. First aircraft: 110 seats, Second aircraft: 209 seats, Third aircraft: 187 seats
D. First aircraft: 82 seats, Second aircraft: 181 seats, Third aircraft: 133 seats

Answer 1

The first aircraft has 99 more seats than the second aircraft and the third aircraft has 24 fewer seats than the second aircraft. By setting up and solving equations, we find that the number of seats in the first aircraft is 206, the second aircraft is 107, and the third aircraft is 83.

Step-by-step explanation:

Let's solve this problem step by step:

Let the number of seats in the second aircraft be x.

According to the given information:

The first aircraft has 99 more seats than the second aircraft, so the number of seats in the first aircraft is (x + 99).

The third aircraft has 24 fewer seats than the second aircraft, so the number of seats in the third aircraft is (x - 24).

Together, the total number of seats is 396, so we can write the equation: (x + 99) + x + (x - 24) = 396.

Simplifying the equation, we have: 3x + 75 = 396.

Subtracting 75 from both sides, we get: 3x = 321.

Dividing both sides by 3, we get: x = 107.

Therefore, the number of seats in the second aircraft is 107. The number of seats in the first aircraft is (107 + 99) = 206. The number of seats in the third aircraft is (107 - 24) = 83.

So, the correct answer is:

A. First aircraft: 206 seats, Second aircraft: 107 seats, Third aircraft: 83 seats