Question

WorksheetBrittany, Katy and Miley are graduating and are no longer going to be roommates, but they each want tokeep the cat they adopted. Using the method of Sealed Bids, Brittany bids $90, Katy bids $150, and Mileybids $165 for the cat. Since Miley's bid is the highest, she gets the cat. How much will she have to payBrittany and Katy in order to keep the division fair?

Answer 1

The total amount they bid is

`90+150+165=\$405`

Miley bids $165 and wins. That is >>>

`(165)/(405)=40.74\%`

So, we calculate each of Brittany's and Katy's bid's 40.74% (around) and that amount Miley needs to pay each person.

Brittany bids $90 and gets >

`\begin{gathered} 40.74\%\cdot90 \\ =0.4074\cdot90 \\ \approx\$40 \end{gathered}`

Katy bids $150 and gets >

`\begin{gathered} 40.74\%\cdot90 \\ =0.4074\cdot150 \\ \approx\$60 \end{gathered}`