Question

Back in 2003, Ayanna's cell phone plan charged her $10 every month plus 10 cents per minute she talked on the phone. Clarissa's plan charged 15 cents per minute, but no monthly fee. At the end of their first month, Clarissa and Ayanna got their cell phone bills. They got charged the exact same amount and had used the same number of minutes. How many minutes did they each spend talking on the phone that month? Round to the nearest whole minute.

Answer 1

Ayanna and Clarissa each spent 200 minutes talking on the phone that month after solving the system of equations based on their respective cell phone plans.

Step-by-step explanation:

The student's question involves solving a system of equations which is a mathematics problem typically taught in middle school or early high school. To determine the number of minutes Ayanna and Clarissa each spent talking on the phone, we set up two equations based on the information given:

• For Ayanna: $10 + ($0.10 × minutes) = Total Bill
• For Clarissa: $0.15 × minutes = Total Bill

Since the total bills are the same and they both used the same number of minutes, we have:

$10 + ($0.10 × minutes) = $0.15 × minutes

By subtracting $0.10 × minutes from both sides, we get:

$10 = $0.05 × minutes

Dividing both sides by $0.05 gives us:

200 minutes = minutes

Therefore, they each spent 200 minutes talking on the phone that month.