First Plan
Monthly fee = $26
charge per min = $0.09
Second Plan
Monthly fee = $19
charge per min = $0.13
Solution
Let the number of minutes spent on calls in a specific month be x
The total cost spent using the first plan:
[tex]0.09x\text{ + 26}[/tex]The total cost spent using the second plan:
[tex]0.13x\text{ + 19}[/tex]If the cost from the first plan would be equal to that of the second plan:
[tex]\begin{gathered} 0.09x\text{ + 26 = 0.13x + 19} \\ \text{collect like terms} \\ 0.04x\text{ = 7} \\ x\text{ = 175} \end{gathered}[/tex]Hence, the number of minutes of calls for which both plans would be equal is 175mins