A phone company offers two monthly plans. Plan A costs $14 plus an additional $0.13 for each minute of calls. Plan B costs $29 plus an additional $0.11 for each minute of calls. For what amount of calling do the two plans cost the same? What is the cost when the two plans cost the same?

the answer is 65.50 dollars

Step-by-step explanation:The plans will cost the same when the amount you have to pay for talking for "x" minutes on Plan A is the same has what you have to pay for talking for the same number of "x" minutes when using Plan B.

$$ Plan A = $$ Plan B

To find the charge on each plan we add the base rate to the per minute call rate for each.

Plan A = $27 + $0.11x

Plan B = $13 + $0.15x

Let's drop the $ sign for now and get rid of the decimal point by multiplying by 100.

2700 + 11x = 1300 + 15x

Subtracting 11x and 1300 from both sides:

4x = 1400

x = 350 min.

Using this result the plans both cost $65.50 for 350 min of talk time.

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