Question

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a 26

monthly fee and charges an additional 0.08
for each minute of calls. The second plan has an 8
monthly fee and charges an additional 0.13
for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?

Answer 1

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Define x :
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Let the number of minutes of call be x.

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First Plan :
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26 + 0.08x

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Second Plan :
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8 + 0.13x

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Find x so that the costs are the same :
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26 + 0.08x = 8 + 0.13x
0.13x = 0.08x = 26 - 8
0.05x = 18
x = 360 minutes

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Answer: 360 minutes of call.
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Answer 2

26+0.08x=8+0.13x
26-8=0.13x-0.08x
18=0.05x
x=18/0.05=360 min