Problema Solution

Nicks Telephone company charges $0.05 per minutes on the weekend calls and $0.08 per minute on the calls made on weekdays. This month Nick was billed for 535 minutes. The charges for these minutes was $38.78. How many minutes did he talk on weekends and how many minutes did he talk on weekdays?

Answer provided by our tutors

let


x = the minutes Niick talked on weekends


y = the minutes Niick talked on weekdays


This month Nick was billed for 535 minutes:


x + y = 535


The charges for these minutes was $38.78:


0.05x + 0.08y = 38.78 multiply both sides by 100


5x + 8y = 3878


by solving the system of equations:


x + y = 535


5x + 8y = 3878


we find:


x = 134 min


y = 401 min


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Nick talked 134 minutes on weekends and 401 minutes on weekdays.