Final answer:
The total change in the number of bushels after 6 days is calculated by multiplying the daily average sold by 6, and then subtracting this number from the initial amount. In this case, the answer should be -91 bushels, which indicates that there has been a reduction of 91 bushels over the 6 day period.
Step-by-step explanation:
The student's question involves calculating the total change in the number of bushels of wheat after a certain number of days. To begin, we start by multiplying the average number of bushels sold per day by the number of days the farmer sells the wheat.
Step 1: Convert the average number sold per day to an improper fraction. The average is 15 1/5 bushels per day, which is equal to (15 × 5) + 1 = 76/5 bushels per day.
Step 2: Calculate the total number of bushels sold over 6 days. Multiply the daily average (76/5 bushels) by 6 days: (76/5) × 6 = 456/5 bushels.
Step 3: Convert 456/5 bushels to a whole number by performing the division: 456 ÷ 5 = 91.2 bushels. Since you cannot sell a fraction of a bushel, this is rounded down to 91 bushels.
Step 4: Determine the remaining bushels of wheat the farmer has after 6 days. Subtract the total sold from the initial amount: 160 - 91 = 69 bushels left.
The options provided do not include 69 bushels, so the student must have been asked to find the change, not the remaining amount. The total change is the negative of the total sold, so -91 bushels. Rounding isn't usual in such context, the student needs to revise the question or the options provided.