Mandi learned that each 10 % of charge on her cell phone gave her an hour and twenty minutes of use. While playing a game today on her phone, she noticed the charge drop from 81 % to 57 % . How long did Mandi play the game? *Assume that playing the game does not drain any extra battery.

Question

A  24 minutes 
B 3 hours and 12 minutes
C  2.4 hours 
D

 1
1
3 hours
E
 4 hours

Answer 1

To determine how long Mandi played the game, we first need to calculate the percentage of charge used during her gameplay.

Mandi's phone charge fell from 81% to 57%, which means she used: \[ 81% - 57% = 24% \]

Next, we know that each 10% of charge provides Mandi with 1 hour and 20 minutes of use. We can convert 1 hour and 20 minutes into minutes: \[ 1 \text{ hour} = 60 \text{ minutes} \] \[ 20 \text{ minutes} = 20 \text{ minutes} \] So, \[ 1 \text{ hour and 20 minutes} = 60 + 20 = 80 \text{ minutes} \]

Since each 10% gives her 80 minutes of use, we can calculate the time she gets for 24% of charge: To find the time for 24%, we first determine how many 10% intervals are in 24%: \[ \frac{24%}{10%} = 2.4 \]

Now, multiply the hours of use for 10% by 2.4: \[ 2.4 \times 80 \text{ minutes} = 192 \text{ minutes} \]

Now, we convert 192 minutes to hours and minutes: \[ 192 \div 60 = 3 \text{ hours} \quad \text{with a remainder of} \quad 12 \text{ minutes} \]

Thus, Mandi played the game for 3 hours and 12 minutes.

The correct answer is: B 3 hours and 12 minutes.