The first minute is x and it costs y every extra minute. How long was the call? Help please. x and y actually have numbers.

Paul calls long distance to his friend Mike in Germany. The first minute of the call costs 3.75 $, and each additional minute costs 5 cents. The total cost of the call is 11.45 $. For how many minutes did the phone call between Paul and Mike last ?

1 Answer
May 11, 2018

Call was for #155# minutes.

Explanation:

Let the call be for #m# minutes

As first minute is #$3.75# and reaining #m-1# minutes are #5# cents or #$0.05# for each minute

total cost is #3.75+0.05(m-1)#

= #3.75+0.05m-0.05#

= #3.7+0.05m#

As total cost of call was #$11.45#

#3.7+0.05m=11.45#

or #0.05m=11.45-3.7=7.75#

or #5m=775#

or #m=775/5=155#

Hence call was for #155# minutes.