Ansgar is writing a novel. He writes seven days a week. On each of those days he write for at least 4 hours but never more than 8 hours. Last week, he wrote for exactly 46 hours. What is the maximum number of days on which he could have written for 8 hours?

A. 2 days
B. 3 days
C. 4 days
D. 5 days
E. 6 days

8*6>46 not good

8*5=40, add 6 days to make 46 hours.
So maximum is 5 days.

HM... I thought it's 4 x 7 = 28.

They want maximum of 8-hour days, so fill up with as many 8-hour days as possible.

To find the maximum number of days on which Ansgar could have written for 8 hours, we need to determine the possible combinations of hours that add up to a total of 46.

We know that Ansgar writes for at least 4 hours but never more than 8 hours on each of the seven days. Let's consider the maximum number of hours Ansgar could have written each day: 4 hours on the first day, 4 hours on the second day, and so on, until he writes for 4 hours on the sixth day.

That would give us a total of 4+4+4+4+4+4 = 24 hours. This leaves us with 46 - 24 = 22 hours remaining from the total of 46 hours he wrote last week.

Now, we need to distribute the remaining 22 hours across the seven days while ensuring Ansgar doesn't write for more than 8 hours on any individual day.

Ansgar can write the remaining 22 hours as follows:
- 1 hour on each of the first two days
- 8 hours on each of the next four days
- 1 hour on the last day

This distribution gives us a total of 24 hours (from writing 4 hours on each of the first six days) + 2 hours (from writing 1 hour on the first two days) + 32 hours (from writing 8 hours on the next four days) + 1 hour (from writing 1 hour on the last day) = 59 hours.

Since Ansgar wrote for exactly 46 hours last week, this distribution is not possible. Therefore, the maximum number of days on which Ansgar could have written for 8 hours is less than 5.

Looking at the possible options given:
A. 2 days
B. 3 days
C. 4 days
D. 5 days
E. 6 days

We have already determined that it is less than 5, so the correct answer must be either A, B, or C.

To find the exact number of days on which Ansgar could have written for 8 hours, we can do a trial and error approach:

- If Ansgar wrote for 8 hours on all seven days (which is not possible), he would have written for 56 hours. This is more than the total of 46 hours.

- If Ansgar wrote for 8 hours on six days and 4 hours on the seventh day, he would have written for 52 hours. Again, this is more than the total of 46 hours.

- If Ansgar wrote for 8 hours on five days and 4 hours on the remaining two days, he would have written for 48 hours. This is still more than the total of 46 hours.

Therefore, the maximum number of days on which Ansgar could have written for 8 hours is less than 4.

Considering the options given, the correct answer is A. 2 days, since it is the only option less than 4.