how many millions did the tour make?

Question

In a recent year, person A and person B had two concert tours, and together they generated $197.8 million in s ticket sales. If person B took in $18.8 million less than person A, how many millions of dollars did each tour generate?

Type an integer or a decimal. The question is on Pearson Math Lab.

Answer 1

This problem involves finding out the relationship between two variables: A (money for person A) and B (money for person B). Then, you can use algebra to relate that to their total earnings

In total, both persons A and B took in 197.8, thus: 197.8 = A + B

Also, we know that B is equal to $18.8 million less than A, so: B = A - 18.8.

 

From this, we can solve for A, then solve for B.

 

197.8 = A + B

197.8 = A + (A - 18.8)

18.8 + 197.8 = 2A - 18.8 + 18.8

216.6 = 2A

216.6/2 = 2A/2

108.3 = A

 

From our previous relationship between A and B, we can now solve for B:

B = A - 18.8

B = 108.3 - 18.8

B = 89.5

 

Thus, A = 108.3 and B = 89.5

(To check this, just confirm that both add up to 197.8)