Question

Bridget needs an actor. Actor A is offering her services for an initial $220 in addition to $65 per day. Actor B is offering her services for an initial $190 in addition to $80 per day. When will the two actors charge the same amount of money?

a) After 2 days
b) After 3 days
c) After 4 days
d) After 5 days

Answer 1

The two actors will charge the same amount of money after 2 days.

Step-by-step explanation:

To find out when the two actors will charge the same amount of money, we need to set up an equation and solve for the number of days. Let x represent the number of days. The total cost for actor A after x days is $220 + $65x. The total cost for actor B after x days is $190 + $80x. To find the number of days when the two actors charge the same amount, we set up the equation:

$220 + $65x = $190 + $80x

Now we can solve for x:

1. 
   
3. Subtract $190 from both sides: $220 + $65x - $190 = $190 + $80x - $190
4. 
   
6. Simplify: $30 + $65x = $80x
7. 
   
9. Subtract $65x from both sides: $30 + $65x - $65x = $80x - $65x
10. 
    
12. Simplify: $30 = $15x
13. 
    
15. Divide both sides by $15: $30 / $15 = $15x / $15
16. 
    
18. Simplify: 2 = x

So the two actors will charge the same amount of money after 2 days.