Problema Solution

Nick's telephone company charges $0.02 per minute for weekend calls and $0.07 per minute for calls made on weekdays. This month Nick was billed for 595 minutes. The charge for these minutes was $34.10. 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 number of minutes Nick spoke on weekends

y = the number of minutes Nick spoke on weekdays

This month Nick was billed for 595 minutes:

x + y = 595

The charge for these minutes was $34.10:

0.02x + 0.07y = 34.10

We have the following system of equations:

x + y = 595

0.02x + 0.07y = 34.10
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x = 151 min

y = 444 min

Nick talked 151 minutes in weekends and 444 minutes on weekdays.