Question

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?

Answer 1

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:

$x\text{ = }\frac{16}{0.04}\text{ = 400}$

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