A farmer has 120 bushels of con for sale at a farmer's market. He sells an average of 15&5/8
bushels each day. After 7 days, what is the change in the total number of bushels the farmer has for sale at the farmer's market?
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To find the change in the total number of bushels the farmer has for sale at the farmer's market, we need to calculate the total number of bushels he sells in 7 days.
The average number of bushels the farmer sells each day is 15 5/8. This can be converted to an improper fraction by multiplying the whole number 15 by the denominator 8 and adding the numerator 5. We then add the fraction 5/8.
15 * 8 + 5 = 125
125/8 = 15 5/8
To find the total number of bushels sold in 7 days, we multiply the average number of bushels sold per day by the number of days:
(15 5/8) * 7 = 7 * 15 5/8 = 109 1/8
Therefore, the farmer sells a total of 109 1/8 bushels in 7 days.
To find the change in the total number of bushels the farmer has for sale at the farmer's market, we subtract the total number of bushels sold from the initial amount.
120 - (109 1/8) = 120 - 109 1/8
To subtract fractions, we need to find a common denominator. In this case, that would be 8.
(120 * 8) - (109 * 8 + 1) / 8 = 960 - (872 + 1) / 8 = 960 - 873/8
Now, we subtract the numerators:
960 - 873 = 87
Therefore, the change in the total number of bushels the farmer has for sale at the farmer's market after 7 days is 87 units.
To find the change in the total number of bushels the farmer has for sale at the farmer's market after 7 days, you need to calculate the average number of bushels sold each day and then subtract it from the initial quantity.
Step 1: Convert the average daily sales into a mixed fraction.
15&5/8 = (8 * 15 + 5)/8 = 125/8
Step 2: Calculate the total number of bushels sold after 7 days.
Total Bushels Sold = Average Daily Sales * Number of Days
Total Bushels Sold = (125/8) * 7
Step 3: Calculate the change in the total number of bushels for sale.
Change in Bushels = Initial Quantity - Total Bushels Sold
Change in Bushels = 120 - ((125/8) * 7)
Now, you can simplify the calculation further to get the numerical value of the change in bushels.