A farmer has 220 bushels of for sale at a​ farmer's market. He sells an average of 15 5/8 bushels each day. After 6 ​days, what is the change in the total number of bushels the farmer has for sale at the​ farmer's market?

Write a signed number representing the change in the total number of bushels the farmer has for sale.
  
​(Type an​ integer, proper​ fraction, or mixed​ number.)

The farmer sells 15 5/8 bushels each day for 6 days, so he sells a total of (15 5/8) * 6 = 93 3/8 bushels.

Therefore, the change in the total number of bushels the farmer has for sale is -93 3/8 bushels.

To find the change in the total number of bushels the farmer has for sale, we need to calculate the difference between the initial number of bushels and the number of bushels sold after 6 days.

Initially, the farmer has 220 bushels for sale. Each day, he sells an average of 15 5/8 bushels.

To find the number of bushels sold after 6 days, we can multiply the number of bushels sold per day (15 5/8) by the number of days (6).

Let's first convert 15 5/8 to a proper fraction. We can do this by converting the mixed number to an improper fraction:

15 5/8 = (15 * 8 + 5) / 8 = 125 / 8

Now we can multiply the number of bushels sold per day by the number of days:

(125/8) * 6 = 750/8 = 93 3/4

Therefore, after 6 days, the farmer will have sold 93 3/4 bushels.

To find the change in the total number of bushels, we subtract the number of bushels sold from the initial number of bushels:

220 - (93 3/4) = 220 - 93 3/4 = 126 1/4

The change in the total number of bushels the farmer has for sale at the farmer's market after 6 days is -126 1/4 bushels.

So the signed number representing the change is -126 1/4.

To find the change in the total number of bushels the farmer has for sale after 6 days, we need to subtract the number of bushels sold from the initial number of bushels.

The farmer sells an average of 15 5/8 bushels each day, so after 6 days, the total number of bushels sold is:
6 days * 15 5/8 bushels/day = 93 3/8 bushels

To find the change in the total number of bushels, we subtract the bushels sold from the initial number of bushels:
220 bushels - 93 3/8 bushels = 126 5/8 bushels

Therefore, the change in the total number of bushels the farmer has for sale at the farmer's market after 6 days is:
126 5/8 bushels.