Answer:it will take 9 days for both actors to charge the same amount.
Step-by-step explanation:
Let x represent the number of days it will take the cost of hiring either actor A or actor B to be the same.
Let y represent the cost of hiring actor A for x days.
Let z represent the cost of hiring actor B for x days.
Actor A is offering her services for initial $250 in addition to $40 per day. It means that
y = 250 + 40x
Actor B is offering her services for an initial $160 in addition to $50 per day. It means that
z = 160 + 50x
To determined the number of days when both costs would be the same, we would equate equation y to equation z. It becomes
250 + 40x = 160 + 50x
50x - 40x = 250 - 160
10x = 90
x = 90/10 = 9
