Alice works part-time after school. On Monday, Alice records that she worked three and two-sixth hours. On Tuesday, Alice records that she worked one and seventy-five hundredths hours. On Wednesday, Alice records that she worked two and two-thirds hours. On Friday, Alice records that she worked five and six-twelfths hours. Alice knows that she worked sixteen and three-sixths hours for five days. Allice forgot to record how many hours she worked on Thursday. How many hours did Alice work on Thursday? Alice earns seven dollars and twenty-five cents to buy a new game player. How many more hours does Alice have to work to have enough money to buy the game player?

What don't you understand about my answer last night?

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To find out how many hours Alice worked on Thursday, we need to subtract the total number of hours she recorded for Monday, Tuesday, Wednesday, and Friday from the total hours she worked for the five days.

Total hours worked for the five days = 16 and 3/6 hours

On Monday, Alice worked 3 and 2/6 hours. Converting it to a mixed fraction, we get 3 1/3 hours.
On Tuesday, Alice worked 1 and 75/100 hours. Converting it to a mixed fraction, we get 1 3/4 hours.
On Wednesday, Alice worked 2 and 2/3 hours.
On Friday, Alice worked 5 and 6/12 hours. Simplifying the fraction, we get 5 and 1/2 hours.

Total recorded hours = 3 1/3 + 1 3/4 + 2 + 5 1/2 hours
= 3 1/3 + 7/4 + 2 + 5 1/2 hours
= 10/3 + 7/4 + 2 + 11/2 hours

Adding these fractions can be challenging, so let's convert them to a common denominator.

The common denominator for 3, 4, and 2 is 12. Converting all the fractions, we get:
10/3 = 40/12
7/4 = 21/12
11/2 = 66/12

Now, we can add them up:
40/12 + 21/12 + 2 + 66/12 = 127/12

So, the total hours recorded for the five days is 127/12 hours.

To find out how many hours Alice worked on Thursday, we can subtract the recorded hours from the total hours:
Total hours worked = 127/12 hours
Recorded hours = 16 3/6 = 99/6 hours

Hours worked on Thursday = Total hours worked - Recorded hours
= 127/12 - 99/6
= (127 - 198) / 12
= -71/12

Since we can't have negative hours, it seems that there might have been an error in the data or calculations. Please double-check the information provided.

Regarding the second part of your question, to figure out how many more hours Alice needs to work to have enough money to buy the game player, we need to determine the amount earned per hour.

Alice earns $7.25 for a certain number of hours. Let's divide this amount by the number of hours worked to find the hourly rate.

Hourly rate = $7.25 / Total hours worked
= $7.25 / (16 3/6)
= $7.25 / (99/6)
= $7.25 * (6/99)
= $0.44 (rounded to two decimal places)

Now, let's calculate how many more hours Alice needs to work to reach the cost of the game player.

Cost of game player = $7.25
Amount earned per hour = $0.44

Number of hours needed = Cost of game player / Amount earned per hour
= $7.25 / $0.44
≈ 16.48 hours

Therefore, Alice needs to work approximately 16.48 more hours to have enough money to buy the game player.