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please help using system of equations!! thank you:-)

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

Apr 22nd, 2015

Plz recheck the question., there is some error in the data provided here.

Apr 22nd, 2015

Oooh yes there is. i will fix it


Apr 22nd, 2015

The price of a cellular telephone plan is based on peak and non-peak 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 non-peak minutes for a total charge of $36. What are the rates per minute for peak and non-peak time?

Apr 22nd, 2015

Let cost of peak minutes be x and non peak minutes be y.

Then according to question:

45x+50y=27.75  ….(1)

And, 70x+30y=36  …(2)

From (1) and (2) we have:

Peak time cost, x=$0.45

Non peak time cost, y=$0.15


Apr 22nd, 2015

where is the work???

Apr 22nd, 2015

Let cost of peak minutes be x and non peak minutes be y.

Then according to question:

45x+50y=27.75  ….(1)

And, 70x+30y=36  …(2)

From (1)  we have:  x=(27.75-50y)/45

Put the value in (2): 70(27.75-50y)/45 +30y=36

Solving we get, y=$0.15

Put the value in x=(27.75-50*0.15)/45

we get, x=$0.45

Peak time cost, x=$0.45

Non peak time cost, y=$0.15


Apr 22nd, 2015

Do you have more doubts?


Apr 22nd, 2015

Did you get the solution? let me know.

Apr 22nd, 2015

Hey plz rate.

Apr 22nd, 2015

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