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Question 1179675: For using a computerized financial news network for 45 min during prime time and 80 min during non-prime time, a customer was charged $11.85. A second customer was charged $15.20 for using the network for 65 min of prime time and 90 min of non-prime time. Find the cost per minute for using the financial news network during prime time.
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! Here's how to solve this problem:
**1. Set up the Equations:**
* Let 'x' be the cost per minute for prime time.
* Let 'y' be the cost per minute for non-prime time.
We can create two equations based on the given information:
* Equation 1: 45x + 80y = 11.85
* Equation 2: 65x + 90y = 15.20
**2. Solve the System of Equations:**
We can use various methods to solve this, such as substitution or elimination. Here, I'll use elimination:
* Multiply Equation 1 by 9: 405x + 720y = 106.65
* Multiply Equation 2 by 8: 520x + 720y = 121.60
* Subtract the first modified equation from the second:
* (520x - 405x) + (720y - 720y) = 121.60 - 106.65
* 115x = 14.95
* Solve for x:
* x = 14.95 / 115
* x = 0.13
**3. Find the Value of y (optional):**
* Substitute x = 0.13 into Equation 1:
* 45(0.13) + 80y = 11.85
* 5.85 + 80y = 11.85
* 80y = 6
* y = 6 / 80
* y = 0.075
**Answer:**
The cost per minute for using the financial news network during prime time is $0.13.
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