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

Answer:

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

Step-by-step 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

$= \frac{500}{30} \\= \frac{50}{3} \\= 16.67$

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