Question

In a recent​ year, person A and person B had two concert​ tours, and together they generated $ 192.4 million$192.4 million in ticket sales. If person B took in ​$21.821.8 million less than person​ A, how many millions of dollars did each tour​ generate?

Answer 1

Person A generated $ 107.1 million

Person B generated $ 85.3 million

Step-by-step explanation:

Let the income generated by the person A = x

and the income generated by the person B = y

Now,

according to the conditions given in the problem

x + y = $ 192.4 million .........(1)

also,

y = x - $ 21.8 million ..........(2)

substituting the y from 2 in the equation 1, we get

x + (x - $ 21.8 million) = $ 192.4 million

or

2x - $ 21.8 million = $ 192.4 million

or

2x = $ 214.2 million

or

x = $ 107.1 million

substituting the x in equation 2, we get

y = $ 107.1 million - $ 21.8 million

or

y = $ 85.3 million

hence,

the person A generated $ 107.1 million and the person B generated $ 85.3 million