Question

You are choosing between two long-distance telephone plans. Plan A has a monthly fee of $40.00 with a charge of $0.05 per minute for all long-distance calls. Plan B has a monthly fee of $15.00 with a

charge of $0.10 per minute for all long-distance calls. Complete parts a and b.
a. For how many minutes of long-distance calls will the costs for the two plans be the same?
minutes​

Answer 1

The number of minutes of call for long distance is 500 minutes .

Explanation:

Given as :

The two different long distance telephones plans are plan A and Plan B

Plan A

monthly fee = $40.00

The charge per minute = $0.05

Plan B

monthly fee = $15.00

The charge per minute = $0.10

now, for both plans

Let The number of minutes of call for long distance = n minutes

So, According to question

∵ The both plans to be same

Monthly fee for plan A + The charge per minute × number of minutes of call for long distance for A = Monthly fee for plan B + The charge per minute × number of minutes of call for long distance calls for B

i.e $40.00 + $0.05 × n = $15.00 + $0.10 × n

Or, $40.00 - $15.00 = $0.10 × n - $0.05 × n

Or, $25 = $0.05 × n

∴ n =
`(25)/(0.05)`

I.e n = 500 minutes

So, The number of calls minutes = n = 500 minutes

Hence, The number of minutes of call for long distance is 500 minutes . Answer