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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.

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alinakincsem

Answer:

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

Step-by-step 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.

[tex]B=A-26[/tex]

[tex]A+B=364[/tex]

Substitute ([tex]A-26[/tex]) for B to get:

[tex]A+(A-26)=364[/tex]

[tex]2A=390[/tex]

A = $195

[tex]B=A-26 = 195-26[/tex]

B = $169