Singer A and Singer B had the two top-grossing concert tours for a certain year, together generating $326 million in ticket sales. If Singer B took in $24 million less than Singer A, how much did each tour generate?
Let x be the amount Singer A generated in ticket sales.
In that case, Singer B generated x - 24 million.
Together, they generated x + x - 24 million = 326 million.
Combining like terms, we get 2x - 24 million = 326 million.
Adding 24 million to both sides, we get 2x = 350 million.
Dividing both sides by 2, we get x = 175 million.
Therefore, Singer A generated 175 million dollars and Singer B generated 175 - 24 = 151 million dollars. Answer: \boxed{175, 151}.
Let's solve the problem step-by-step.
Step 1: Let's assume that Singer A generated X dollars.
Step 2: According to the information given, Singer B took in $24 million less than Singer A. So, Singer B generated (X - $24 million) dollars.
Step 3: The total ticket sales generated by both singers is $326 million. So, the equation is: X + (X - $24 million) = $326 million.
Step 4: Simplifying the equation, we have: 2X - $24 million = $326 million.
Step 5: Adding $24 million to both sides of the equation, we have: 2X = $350 million.
Step 6: Dividing both sides of the equation by 2, we have: X = $175 million.
Step 7: Now, let's find out how much Singer B generated. Singer B generated (X - $24 million) dollars, which is ($175 million - $24 million) = $151 million.
Therefore, Singer A generated $175 million, and Singer B generated $151 million.
To find out how much each tour generated in ticket sales, we can set up a system of equations.
Let's assume that Singer A's tour generated x million dollars in ticket sales. According to the problem, Singer B took in $24 million less than Singer A, so we can say that Singer B's tour generated (x - $24) million dollars.
Together, the two tours generated $326 million in ticket sales. Therefore, we can write the equation:
x + (x - $24) = $326
Simplifying the equation, we have:
2x - $24 = $326
To isolate the variable x, we can add $24 to both sides:
2x = $326 + $24
2x = $350
Now, we can solve for x by dividing both sides by 2:
x = $350 / 2
x = $175
So, Singer A's tour generated $175 million in ticket sales.
To find out how much Singer B's tour generated, we can substitute this value of x back into the equation:
Singer B's tour = x - $24 = $175 - $24 = $151
Therefore, Singer A's tour generated $175 million and Singer B's tour generated $151 million in ticket sales.