A person makes an overseas phone call. The telephone company charges
60
60 cents for the first minute and then
71
71 cents for each minute thereafter. Because it's an overseas phone call, there is also a
50
50 cent service charge. If the phone call cost $
18.14
18.14, how many minutes did this person talk?
The person talked for
minutes.
To find out how many minutes the person talked, we can set up an equation based on the given information.
Let's denote the number of minutes the person talked as 'm'.
According to the information provided, the telephone company charges 60 cents for the first minute and then 71 cents for each subsequent minute. So, the cost for the first minute is 60 cents, and the cost for the remaining (m - 1) minutes would be (m - 1) * 71 cents.
In addition to the cost per minute, there is also a 50 cent service charge. Therefore, the total cost of the call would be:
Total Cost = Cost of the first minute + Cost of the remaining minutes + Service charge
18.14 = 0.60 + (m - 1) * 0.71 + 0.50
To solve for 'm', we can rearrange the equation:
18.14 - 0.60 - 0.50 = (m - 1) * 0.71
17.04 = (m - 1) * 0.71
Now, divide both sides of the equation by 0.71 to solve for 'm':
m - 1 = 17.04 / 0.71
m - 1 ≈ 24
Add 1 to both sides of the equation:
m ≈ 24 + 1
m ≈ 25
Therefore, the person talked for approximately 25 minutes.
Find m, where
60 + 71(m-1) + 50 = 1814