Answer:
10 number of checks.
Cost = $6
Step-by-step explanation:
Given that:
Fixed Charges of first bank = $5
Charges of first bank per check = $0.10
Fixed Charges of second bank = $4
Charges of second bank per check = $0.20
To find:
Number of checks such that the charges for the banks become the same?
Solution:
Let the number of checks = [tex]x[/tex]
Cost for the first bank for [tex]x[/tex] checks = $5 + $0.10[tex]x[/tex]
Cost for the second bank for [tex]x[/tex] checks = $4 + $0.20[tex]x[/tex]
As per question statement, both the costs are the same.
Comparing the values:
[tex]5 + 0.10x = 4 + 0.20x\\\Rightarrow 0.10x = 1\\\Rightarrow x = 10[/tex]
So, for 10 number of checks the cost will be same.
The cost = 4 + 0.20 [tex]\times[/tex] 10 = $6
