Question

2 cell phones with different text packages. Plan a: $5 per month plus 3 cents per charge. Plan b: no charge per moth plus 10 cents per text. Is there a certain number of texts when two plans cost the same? How many text on each plan to have same bill amount?

Answer 1

a) No there is no certain number of texts when two plans cost the same

b) On plan A 1 text and on plan B 2 text

Explanation:

Let us calculate the per text charge for both the plans

Plan A

Total monthly charge of the plan
`= 5` dollars

Number of cents is a dollar
`= 100`

Total cents in five dollars
`= 5* 100 = 500` cents

Total number of days in a month
`= 30`

Charge per day

`= (500)/(30) \\= (50)/(3) \\= 16.67`

Now, if only one text is send in a day, the total charge of the text will be

`16.67 + 3`

`19.67` cents per text or
`20` cents per text

Plan B

No charge for the month + $
`10` cents per text

`=` $
`10` cents per text

a) No there is no certain number of texts when two plans cost the same

b) On plan A 1 text and on plan B 2 text