Rafi is upgrading his cell phone and

monthly service plan. Triax Cell offers a
new phone for $50 and unlimited
service for a monthly fee of $40. CellUR
offers a new phone and unlimited
service for a monthly fee of $50. After
how many months will the cost of the
two phones and monthly service fees
be the same?

cell1 = 50 + 40m

cell2 = 0 + 50m

when is 50m = 50+40m ???
(seems too easy)

38

To find out after how many months the cost of the two phones and monthly service fees will be the same, we can set up an equation and solve for the number of months.

Let's assume that the number of months is represented by "x".

For Triax Cell, the total cost after x months would be:
Cost of the phone + Monthly service fees = $50 + ($40 * x)

For CellUR, the total cost after x months would be:
Cost of the phone + Monthly service fees = $50 + ($50 * x)

To find when the costs are equal, we can set up the equation:

$50 + ($40 * x) = $50 + ($50 * x)

Now, we can solve for x:

$40 * x = $50 * x

Subtracting $40x from both sides:

$40 * x - $40 * x = $50 * x - $40 * x

$0 = $10 * x

Dividing both sides by $10:

$0 / $10 = $10 * x / $10

0 = x

Therefore, the cost of the two phones and monthly service fees will be the same after 0 months. This means that the costs are already equal from the start.