SOLUTION: Singer A and Singer B had the two​ top-grossing concert tours for a certain​ year, together generating ​$413 million in ticket sales. If Singer B took in ​$

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Question 1015644: Singer A and Singer B had the two​ top-grossing concert tours for a certain​ year, together generating ​$413 million in ticket sales. If Singer B took in ​$23 million less than Singer​ A, how much did each tour​ generate?
I'm using x(x-23)=413, but thats giving me a lot of decimals
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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A=gross for singer A; B=gross for singer B=A-$23 million
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You add the two, not multiply:
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A+B=$413 million . Substitute (A-$23 million) for B.
A+(A-$23 million)=$413 million . Add $23 million to each side.
2A=$436 million . Divide each side by 2.
A=$218 million
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ANSWER 1: Tour A grossed $218 million
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B=A-$23 million=$218-$23 million=$185 million
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ANSWER 2: Tour B grossed $195 million
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CHECK:
A+B=$413 million
$218 million + $195 million = $413 million
$413 million = $413 million
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