a. 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.
+2
To write expressions for how much Winona and Takoda would pay in total for the set of power tools they plan to buy for their mother, we need to define additional variables or prices based on the provided information. Let's assume that the set of power tools costs `P` dollars. If we want to express the total amount each person would pay in terms of `d`, where `d` is known or can be calculated, we have to consider how the cost is being split between Winona and Takoda. Unfortunately, we do not have information on the cost or how they are splitting it in the question provided.
Here are two scenarios that could apply, based on different distributions of the total cost (P):
**Scenario 1 (Equal Split)**:
If Winona and Takoda are splitting the cost equally, each one will pay half of the total cost. In this case, the expressions for the amount each would pay in terms of `d` will be the same, and `d` will be equal to half the total cost (P/2).
Winona pays: d = P/2
Takoda pays: d = P/2
The expressions in terms of `d` would then be:
Winona's total payment: P/2
Takoda's total payment: P/2
**Scenario 2 (Different Splits)**:
If Winona and Takoda are not splitting the cost equally, let's assume Winona is paying a certain fraction or multiple of what Takoda pays. Let's say Winona pays `m` times what Takoda pays. Then the total amount P is split into (1 + m) parts, and Takoda pays 1 part while Winona pays m parts.
Winona pays: d = m * (P / (1 + m))
Takoda pays: d = P / (1 + m)
The expressions would then be:
Winona's total payment: m * (P / (1 + m))
Takoda's total payment: P / (1 + m)
Without a specific value for `d` or more information on how Winona and Takoda have decided to split the cost of the set of power tools, it's not possible to give a definitive answer. We can only provide expressions based on different hypothetical scenarios concerning their payment agreement.