Question

a plane has 32 seats in class A and 50 seats in class B whose sale represents a total of € 14,600. However, only 10 seats have been sold in class A and 40 seats in class B. A total of € 7,000 was obtained What is the price of a seat in each class?

Answer 1

The two equations would be

32a+50b=14600
10a+40b=7000
To solve, we need to eliminate one variable.... let’s eliminate b

4(32a+50b=14600) —> 128a+200b=58400
-5(10a+40b=7000) —> -50a-200b=-35000
So when we add them together’ we get 78a = 23400
So solve that and a= 300, so class a tickets cost 300 euros each

Substitute a=300 into first equation in the system of equations at the beginning and 32(300)+50b=14600 —> 9600+50b=14600 —> 50b = 5000 or b= 100, so the cost for class b tickets is 100 euros each