Question

Ariel is training for her pilot's license. The school requires students to learn from the teacher and learn in the simulator. Airplane tutoring costs $105 per hour, and the flight simulator costs $45 per hour. The school requires students to spend 4 more hours in airplane instruction than in the simulator. If Ariel can afford to spend $3870 on training, what is the maximum number of hours of training in an airplane and in a simulator she can afford in getting her license?

Answer 1

Answer: Simulator = 23 hours

Airplane = 27 hours

Explanation:

Let the number of hours spent in the simulator be x.

Since the school requires students to spend 4 more hours in airplane instruction than in the simulator. Thai means that the number of hours spent in the airplane will be: x + 4

To determine the maximum number of hours of training in an airplane and in a simulator she can afford in getting her license will then be:

= 105(x+4) + 45(x) = 3870

105x + 420 + 45x = 3870

105x + 45x = 3870 - 420

150x = 3450

x = 3450/150

x = 23

Number of hours spent in simulator = 23 hours.

Number of hours used in airplane = 23 + 4 = 27 hours