To find the total change in the number of bushels the farmer has for sale after 5 days, we first need to determine how many bushels he sells in those 5 days.
The farmer sells an average of 15 1/4 bushels each day. We can convert 15 1/4 to an improper fraction or a decimal for easier calculations.
15 1/4 can be converted as follows: \[ 15 \frac{1}{4} = 15 + \frac{1}{4} = \frac{60}{4} + \frac{1}{4} = \frac{61}{4} \]
Now, we can calculate how many bushels he sells over 5 days: \[ \text{Total sold in 5 days} = 5 \times \left(15 \frac{1}{4}\right) = 5 \times \frac{61}{4} = \frac{5 \times 61}{4} = \frac{305}{4} \]
Next, we need to simplify \(\frac{305}{4}\). We can perform the division: \[ 305 \div 4 = 76.25 \] So, the farmer sells 76.25 bushels over 5 days.
Now, we calculate the change in the number of bushels he has after 5 days. He started with 220 bushels, so: \[ \text{Bushels remaining} = 220 - 76.25 = 143.75 \]
To find the total change in the number of bushels, we see that he sold 76.25 bushels: \[ \text{Total change} = -76.25 \]
Thus, the total change in the number of bushels he has for sale after 5 days is \(-76.25\).
1 answer