Question

In a recent year, person A and person B had two concert tours, and together they generated $191.3 million in ticket sales. If person B took in $24.5 million less than person A, how many millions of dollars did each tour generate?

Answer 1

person A tour: $107.9 million

person B tour: $83.4 million

Explanation:

If person A and person B together generated $191.3 million in ticket sales, we can write the equation:

X + Y = 191.3

Where X is the amount generated by A alone in millions and Y is the amount generated by B alone in millions.

If person B took in $24.5 million less than person A, we can write the equation:

Y = X - 24.5

So, we can use this expression for Y in the first equation to find the value of X:

X + (X - 24.5) = 191.3

2X = 191.3 + 24.5 = 215.8

X = 107.9

Then, we find the value of Y:

Y = X - 24.5 = 107.9 - 24.5 = 83.4

So, person A tour generated $107.9 million in ticket sales, and person B tour generated $83.4 million in ticket sales.