One cellular phone carrier charges $26.50 a month and $0.25 a minute for local calls. another carrier charges $14.50 a month and $0.25 a minute for local calls. for how many minutes is the cost of the plans the same?

The cost of plans is same for 120 minutes.

Step-by-step explanation:

Given:

One cellular phone charge = $26.50 a month and $0.15 per minute.

Another cellular charges = $14.50 a month and $0.25 per minute.

Let the number of minutes at which both plans are same be = minutes

For minutes the plan charges are as following:

1)

2)

So, we equate the above expressions as the plans are same.

Multiplying both sides by 100.

Subtracting both sides by 1450.

Subtracting both sides by

Dividing both sides by 10.

∴

The cost of plans is same for 120 minutes.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10