Question

​Nick's telephone company charges $ 0.06 per minute for weekend calls and $ 0.07 per minute for calls made on weekdays. This month Nick was billed for 590 minutes. The charge for these minutes was $ 36.12 . How many minutes did he talk on weekends and how many minutes did he talk on​ weekdays?

Answer 1

72 minutes on weekdays, 518 minutes on weekends.

Explanation:

To do this, we can write a system of equations.

First, we can name x minutes on weekdays.

We can name y minutes on weekends.

That said, our system would be:

Total minutes: x+y=590

Total cost: 0.07x+0.06y=36.12

Now, we can set up for substitution.

x+y=590

Subtract y from both sides.

x=590-y

Now we can substitute 590-y in for x.

0.07(590-y)+0.06y=36.12

Distribute.

41.3-0.07y+0.06y=36.12

Subtract 41.3 from both sides.

-0.07y+0.06y=-5.18

Combine like terms.

-0.01y=-5.18

Divide both sides by -0.01

y=518

Plug that into the original equation to find x.

x+518=590

Subtract 518 from both sides.

x=72