Question

Singer A and Singer B had the two​ top-grossing concert tours for a certain​ year, together generating ​$364 million in ticket sales. If Singer B took in ​$26 million less than Singer​ A, how much did each tour​ generate?

Singer A generated ​$
______ million in ticket sales and Singer B generated ​$
______ million.

Answer 1

Singer A generated ​$195 million in ticket sales and Singer B generated ​$169 million.

Explanation:

Assuming A = gross for singer and B = gross for singer.

Given that they together generated $364 million in ticket sales and singer B took in ​$26 million less than Singer​ A, we are to find the amount generated by each tour.

`B=A-26`

`A+B=364`

Substitute (
`A-26`) for B to get:

`A+(A-26)=364`

`2A=390`

A = $195

`B=A-26 = 195-26`

B = $169