- The total sales for the week are \(14.4\) tons.
- Summing the known daily sales from Monday to Thursday yields \(2.4 + 4.4 + 1.8 + 2.8 = 11.4\) tons.
- Subtracting this sum from the weekly total gives the Friday sales: \(14.4 - 11.4 = 3.0\) tons.
- The amount of chlorine sold on Friday is \(\boxed{3.0}\) tons.
Explanation
- Problem Analysis and Setup
To find the amount of chlorine sold on Friday, we first note the total sales for the entire week and the individual sales for the known days (Monday through Thursday). The total weekly sales are given as \(14.4\) tons. The sales for the known days are as follows:
- Monday: \(2.4\) tons
- Tuesday: \(4.4\) tons
- Wednesday: \(1.8\) tons
- Thursday: \(2.8\) tons
We need to calculate the sum of these daily sales to determine the remaining amount attributed to Friday. Let \(S_F\) represent the sales on Friday. The relationship between the total weekly sales and daily sales is:
\[2.4 + 4.4 + 1.8 + 2.8 + S_F = 14.4\]
- Calculation and Final Result
Now, we calculate the total sum of sales for Monday, Tuesday, Wednesday, and Thursday:
\[2.4 + 4.4 + 1.8 + 2.8 = 11.4\]
With this sum known, we substitute it into our initial equation:
\[11.4 + S_F = 14.4\]
To isolate \(S_F\), we subtract \(11.4\) from both sides of the equation:
\[S_F = 14.4 - 11.4\]
\[S_F = 3.0\]
Thus, the chlorine sold on Friday is \(3.0\) tons.
Examples
Calculating daily resource distribution is essential in supply chain management. For instance, if a warehouse tracks weekly shipments of water bottles, knowing the sum of daily deliveries allows the manager to predict shortages or surplus. Similarly, in this chlorine inventory task, calculating Friday's sales helps in maintaining accurate records and preparing for the following week's stock orders by confirming the exact consumption rate over the business week.