A farmer has 140 bushels of for sale at a farmer's market. He sells an average of 15 1/8 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?
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 1/8 bushels each day for 7 days.
To find the total number of bushels sold, we can multiply 15 1/8 by 7.
15 1/8 * 7 = 106
Therefore, the farmer sells 106 bushels in 7 days.
To find the change in the total number of bushels the farmer has for sale, we subtract the number of bushels sold from the initial quantity:
140 - 106 = 34
The change in the total number of bushels the farmer has for sale is 34 bushels.
To find the change in the total number of bushels the farmer has for sale at the farmer's market after 7 days, we need to calculate the total bushels sold in those 7 days.
The farmer sells an average of 15 1/8 bushels each day. We can convert this mixed number into an improper fraction:
15 1/8 = (15 * 8 + 1)/8 = 121/8
Now, we can find the total bushels sold in 7 days by multiplying the average daily sales by the number of days:
Total bushels sold = (121/8) * 7
To simplify the calculation, we can simplify the fraction before multiplying:
Total bushels sold = (121/8) * 7 = (11 * 11) / (8/1) * (7/1) = 121/1 * 77/8 = 9387/8
Since we need to find the change in the total number of bushels, we subtract the total bushels sold from the initial 140 bushels:
Change in total number of bushels = 140 - (9387/8)
To subtract fractions, we need a common denominator. The common denominator for 8 and 1 is 8:
Change in total number of bushels = (140 * 8)/8 - (9387/8) = 1120/8 - 9387/8 = (1120 - 9387)/8
Now, let's calculate the numerator:
Change in total number of bushels = -8267/8
Therefore, the signed number representing the change in the total number of bushels the farmer has for sale after 7 days is -8267/8.
To find the change in the total number of bushels the farmer has for sale, we need to subtract the number of bushels sold from the initial amount.
The farmer sells an average of 15 1/8 bushels each day. To find the total number of bushels sold in 7 days, we can multiply this average by 7.
15 1/8 = (15 + 1/8) = 121/8
Total bushels sold in 7 days = 121/8 * 7 = 847/8
To find the change in the total number of bushels the farmer has for sale, we subtract the bushels sold from the initial amount.
Change in total number of bushels = 140 - 847/8
To subtract a mixed number from a whole number, we can convert the mixed number to an improper fraction and then subtract.
847/8 can be converted to a mixed number by dividing the numerator (847) by the denominator (8). The quotient is the whole number and the remainder is the numerator of the fraction.
847 ÷ 8 = 105 with a remainder of 7
So, 847/8 = 105 7/8
Now we can subtract the mixed number from the whole number.
140 - 105 7/8 = 140 - (105 + 7/8) = 140 - 105 - 7/8
Subtract the whole numbers: 140 - 105 = 35
Subtract the fractions: 7/8
The change in the total number of bushels the farmer has for sale is 35 - 7/8.
wrong
Apologies for the mistake. Let me correct it.
To find the total number of bushels sold in 7 days, we can multiply the average daily sales by the number of days:
15 1/8 = 15 + 1/8 = 120/8 + 1/8 = 121/8
Total bushels sold in 7 days = 121/8 * 7 = 847/8
To find the change in the total number of bushels the farmer has for sale, we subtract the bushels sold from the initial amount:
Change in total number of bushels = 140 - 847/8
To subtract a fraction from a whole number, we need a common denominator.
Multiplying the whole number 140 by 8/8, we get:
140 * 8/8 = 1120/8
Now we can subtract the fraction:
Change in total number of bushels = 1120/8 - 847/8 = (1120 - 847)/8 = 273/8
Therefore, the signed number representing the change in the total number of bushels the farmer has for sale after 7 days is 273/8.