Unitary Method Da7418
1. Let's understand the unitary method: it involves finding the value of a single unit and then using it to find the value of multiple units.
2. Suppose you have a problem like: "If 5 apples cost 20, what is the cost of 1 apple?" Here, the cost of 5 apples is 20.
3. Using the unitary method, cost of 1 apple = $\frac{20}{5} = 4$.
4. Now, if you want to find the cost of, say, 8 apples, multiply the cost of 1 apple by 8: $4 \times 8 = 32$.
5. So, the cost of 8 apples is 32.
6. The key formula is: \nCost of 1 unit = $\frac{\text{Cost of multiple units}}{\text{Number of units}}$\nCost of required units = $\text{Cost of 1 unit} \times \text{Number of required units}$.
7. This method applies to various problems involving ratios, proportions, speed, distance, time, work, etc., by first finding the value of one unit and then scaling up or down accordingly.
This explanation covers the unitary method clearly with examples and formulas.