In a recent year, person A and person B had two concert tours, and together they generated $193.2 million in ticket sales. If person B took in $22.6 million less than person A, how many millions of dollars did each tour generate?

Respuesta :

A + B = $193.2 million

A + (A - 22.6) = 193.2

2A - 22.6 = 193.2

2A = 215.8

A = 107.9 million <======= A generated

B = 107.9 - 22.6 = 85.3 million <======= B generated

Answer: Person A generates $107.9 million and person B generates $85.3 million.

Step-by-step explanation:

Let x denotes the amount of money ( in million dollars) generate by person A and y denotes the amount of money ( in million dollars) generate by person B.

Given : In a recent year, person A and person B had two concert tours, and together they generated $193.2 million in ticket sales.

i.e. [tex]x+y=193.2--------(1)[/tex]

If person B took in $22.6 million less than person A, then

[tex]x-y=22.6---------------(2)[/tex]

Person A generates $107.9 million and person B generates $85.3 million.

dd (1) and (2), we get

[tex]2x=193.2+22.6\\\\\Rightarrow\ 2x=215.8\\\\\Rightarrow\ x=\dfrac{215.8}{2}=107.9[/tex]

[tex](107.9)+y=193.2\\\\\Rightarow\ y=193.2-107.9=85.3[/tex]

Hence, Person A generates $107.9 million and person B generates $85.3 million.