A farmer has 240 bushels of for sale at a farmer's market. He sells an average of 16 3/4 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.
The farmer sells an average of 16 3/4 bushels each day for 6 days, so he sells a total of 16 3/4 * 6 = 100 bushels.
The change in the total number of bushels the farmer has for sale is -100 bushels, because he sold them. (Negative because the bushels are being subtracted)
To find the change in the total number of bushels the farmer has for sale at the farmer's market after 6 days, we need to subtract the number of bushels the farmer has sold from the total number of bushels he started with.
The farmer sells an average of 16 3/4 (or 67/4) bushels each day.
To find the total number of bushels sold after 6 days, we multiply the average number of bushels sold per day by the number of days. So, 16 3/4 bushels/day * 6 days = (67/4) * 6 = 402/4 = 100.5 bushels.
To find the change in the total number of bushels the farmer has for sale, we subtract the total number of bushels sold from the initial total of 240 bushels. So, 240 bushels - 100.5 bushels = 139.5 bushels remaining for sale.
However, the question asks for a signed number representing the change. So, we need to consider the direction of the change. Since the farmer has sold bushels, the total number of bushels for sale has decreased. Therefore, the change in the total number of bushels is negative.
Hence, the signed number representing the change in the total number of bushels the farmer has for sale is -139.5 bushels.
To find the change in the total number of bushels the farmer has for sale, we need to calculate how many bushels he has sold in 6 days.
First, let's convert the average daily sales of 16 3/4 bushels into an improper fraction.
16 3/4 = (4 * 16 + 3)/4 = (64 + 3)/4 = 67/4
Now, let's multiply the average daily sales by the number of days (6) to find the total number of bushels sold.
Total bushels sold = (67/4) * 6 = (67 * 6) / 4 = 402 / 4 = 100.5
However, we cannot have half a bushel, so we'll round down to the nearest whole number.
Total bushels sold = 100
Now, let's subtract the total bushels sold from the initial amount to find the change.
Change in total number of bushels = 240 - 100 = 140
Therefore, the signed number representing the change in the total number of bushels the farmer has for sale is -140.
wrong
Apologies for the incorrect response. Let's calculate the change in the total number of bushels the farmer has for sale at the farmer's market after 6 days correctly.
The farmer sells an average of 16 3/4 (or 67/4) bushels each day.
To find the total number of bushels sold after 6 days, we multiply the average number of bushels sold per day by the number of days. So, 16 3/4 bushels/day * 6 days = (67/4) * 6 = 402/4 = 100.5 bushels.
To find the change in the total number of bushels the farmer has for sale, we subtract the total number of bushels sold from the initial total of 240 bushels. So, 240 bushels - 100.5 bushels = 139.5 bushels remaining for sale.
To represent the change in the total number of bushels as a signed number, if he has less bushels for sale, it is considered a decrease and should be negative. So, the signed number representing the change in the total number of bushels the farmer has for sale is -139.5 bushels.