a. The 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 are:
- Winona: d - 0.15d
- Takoda: d - 0.15d
b. The expression 0.90(d - 5) refers to the discounted cost of the present after applying a 10% discount on the original price. We know this because 0.90 is equal to (1 - 0.10), which represents a 10% discount. This expression could also be written as 0.9d - 0.45.
c. Let's choose d = $50. For the power tools, the total cost for Winona would be: (50-0.15*50) = $42.50, and for Takoda: (50-0.15*50) = $42.50.
For the water skis, the total cost for Winona would be: (50+15-0.25*(50+15)) = $56.25, and for Takoda: (50+15-0.25*(50+15)) = $56.25.
For jewelry, the total cost for Winona would be: (50-5-0.10*(50-5)) = $43.50, and for Takoda: (50-5-0.10*(50-5)) = $43.50.
Based on these calculations, I would recommend that Winona and Takoda buy their mother the set of power tools since it is the least expensive option at $42.50 for both of them. The water skis and jewelry options are more expensive, costing $56.25 and $43.50 respectively, so the power tools would be the most cost-effective choice for them.