Question

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?

Answer 1

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 2

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

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.
`x+y=193.2--------(1)`

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

`x-y=22.6---------------(2)`

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

dd (1) and (2), we get

`2x=193.2+22.6\\\\\Rightarrow\ 2x=215.8\\\\\Rightarrow\ x=(215.8)/(2)=107.9`

`(107.9)+y=193.2\\\\\Rightarow\ y=193.2-107.9=85.3`

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