Question

Write two expressions in terms of d to show how much Winona and Takoda would pay in total if they buy their mother the set of power tools.

Answer 1

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:

1. **Winona pays half of the total cost**:
- Winona's share = \(\frac{d}{2}\)

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:

1. If split equally:
- Total = \(d\)

2. If split as a fraction (e.g., \(w\) and \(d-w\)):
- Total = \(d\)