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A phone company offers two monthly plans. Plan A costs $11 plus an additional $0.11 for each minute of calls. Plan B costs $27 plus an additional $0.07 foreach minute of callsFor what amount of calling do the two plans cost thesame?minutesWhat is the cost when the two plans cost the same?

User Sam Ngugi
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1 Answer

4 votes

Solution:

Let x represent a number of calling minutes. According to the problem, we want:


11\text{ + 0.11 x = }27\text{ + 0.07 x}

now, putting the similar terms together, we obtain:


0.11\text{ x - 0.07 x = 27 -11 }

this is equivalent to:


0.04x\text{ = 16}

now, solving for x, we get:


x\text{ = }(16)/(0.04)\text{ = 400}

then, the correct answer for the first question is:

400 minutes is the number of minutes the two plans cost the same

now, for the second question, we can replace the above value (400 minutes) into the following equation:


11\text{ + 0.11(400) = }55

so that, the correct answer for the second question is:

$55 is the cost when the two plans cost the same

User Marrossa
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