9514 1404 393
Answer:
(8, 1)
Step-by-step explanation:
Let x represent the number of hats sold by each seller.
__
Kenny's cost: $3
Kenny's revenue: $0.50x
Kenny's profit = revenue - cost: y = 0.50x -3
__
Ben's cost: $1
Ben's revenue: $0.25x
Ben's profit = revenue - cost: y = 0.25x -1
__
The profit and sales will be the same when the same (x, y) values satisfy both profit equations.
y = 0.50x -3
y = 0.25x -1
0.50x -3 = 0.25x -1 . . . . . substitute for y
0.25x = 2 . . . . . . . . . . . add 3-0.25x
x = 8 . . . . . . . . . . multiply by 4
y = 0.25x -1 = 2 -1 = 1 . . . using Ben's profit equation
The profit and sales will be the same for ...
(hats, profit) = (8, 1)
