The price of a cellular telephone plan is based on peak and nonpeak service. Kelsey used 45 peak minutes and 50 nonpeak minutes and was charged $27.75. That same month, Mitch used 70 peak minutes and 30 nonpeak minutes for a total charge of $36. What are the rates per minute for peak and non peak time?

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Apr 22nd, 2015

Let the rate per minute for Peak hours be 'P' and Non -peak hours be 'N'.

So 45P + 50N = 27.75

70P + 30N = 36

To eliminate N, multiply eq.1 by 30 and eq.2 by 50 {Hint: LCM of 50 & 30 is 1500}

1350P +1500N = 832.5

3500P + 1500N = 1800

Subtract 3 from 4,

2150P = 967.5

P =967.5/2150

= .45 $

So Substituting 'P' in eq.2 we get,

70*.45 + 30N = 36

N =4.5/30

= .15 $

So the rate per minute for Peak hours and Non -peak hours is 45 cents & 15 cents respectively.

Please let me know if you have any other questions and best me if you are satisfactory.