STUCK ON THIS

Question

A phone company offers two monthly plans. Plan A costs
$27
plus an additional
$0.11
for each minute of calls. Plan B costs
$13
plus an additional
$0.15
for each minute of calls.

Its asking me For what amount of calling are both plans the same and what is the cost when both plans cost the same?

Answer 1

Gibran,

 

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.