Leila purchased a prepaid phone card for . Long distance calls cost cents a minute using this card. Leila used her card only once to make a long distance call. If the remaining credit on her card is , how many minutes did her call last?
To find the number of minutes Leila's call lasted, we need to determine how much credit she used for the call.
1. First, subtract the remaining credit on her card from the initial value of the card: Initial value - Remaining credit = Credit used for the call.
(Initial value of the card) - (Remaining credit) = Credit used for the call.
Let's assume the initial value of the card is x.
x - Remaining credit = Credit used for the call.
2. Then, divide the credit used for the call by the cost per minute of long distance calls using the card:
(Credit used for the call) / (Cost per minute) = Number of minutes.
Now, let's substitute the given values into these equations to find the number of minutes the call lasted.
To find out how many minutes Leila's call lasted, we need to take into account the cost per minute and the remaining credit on her card.
Let's use the given information:
- The prepaid phone card cost $X.
- Long distance calls cost Y cents per minute.
- The remaining credit on Leila's card is $Z.
First, we need to convert the remaining credit on her card from dollars to cents to match the cost per minute. We know that 1 dollar is equal to 100 cents, so Z dollars will be equal to 100Z cents.
Next, we'll calculate the call duration by dividing the remaining credit by the cost per minute:
Duration = Remaining credit / Cost per minute
Duration = 100Z cents / Y cents/minute
Duration = (100Z / Y) minutes
Therefore, the call lasted (100Z / Y) minutes.