To show how much Winona and Takoda would pay in total for the set of power tools, we need to express the cost in terms of \(d\).
Let's assume:
- \(d\) is the price they both agreed to pay for the power tools.
- Winona and Takoda decide to split the cost in a certain way.
For simplicity, let’s say:
-
Winona pays half of the total cost:
- Winona's share = \(\frac{d}{2}\)
-
Takoda pays the remaining half:
- Takoda's share = \(\frac{d}{2}\)
Then, the total amount paid by Winona and Takoda would be:
\[ \text{Total Cost} = \text{Winona's share} + \text{Takoda's share} = \frac{d}{2} + \frac{d}{2} = d \]
Thus, the total they would pay for the set of power tools can be expressed as:
\[ \text{Total Amount Paid} = d \]
If you want to show another arrangement, suppose they both contribute differently. For instance:
-
Winona pays a portion \(w\), and Takoda pays the rest, which can be expressed in terms of \(d\). If Winona pays 1/3 of the total cost, then:
- Winona's share = \(\frac{1}{3}d\)
- Takoda's share = \(d - \frac{1}{3}d = \frac{2}{3}d\)
Then, the total amount paid would still be:
\[ \text{Total Amount Paid} = \frac{1}{3}d + \frac{2}{3}d = d \]
In summary, regardless of how they split the amount, the total amount Winona and Takoda would pay together for the set of power tools in terms of \(d\) is always represented as:
-
If split equally:
- Total = \(d\)
-
If split as a fraction (e.g., \(w\) and \(d-w\)):
- Total = \(d\)
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