You and your partner treasure hunter have uncovered a box of coins from the ancient civilization of Hyrule. The box contains 2 big coins, 3 silver coins, 4 shiny coins, and 5 tiny coins! The two of you decide to split the contents of the box evenly. You and your partner flip a coin and decide that you will have the hard job of being the divider. Then your partner will pick the pile they value more. You took a course in Hylian coins in college, but your partner has never heard of them. You know that each big coin is worth $4, each silver coin is worth $2, each shiny coin is worth $3 and each tiny coin is worth $6

1) Divide the coins into two equal piles (pile A and pile B). Your partner will pick one pile and you will get the other pile. In other words, use divide and choose.

What coins will you put in each pile?

2) While you are subdividing the coins, your partner is looking at the coins and informing you of what they think each coin is worth. They think that the big coins are each worth $6, the silver coins are each worth $4, the shiny coins are each worth $5 and the tiny coins are each worth $1 Based on this information, how does your partner value each of the piles in your answer to question #1 3) You realize that the division you were planning on making is not equal according to your partner. Your partner will be able to get more than what they think their fair share is. Since you know how your partner values things, you can use that knowledge to make a new (unfair) division so that your partner values Pile C more than Pile D, while you secretly think that Pile D is worth more than Pile C. This way, both of you think that you got more than 50% of the total value. What coins will you put in the new piles? (Pile C and Pile D) 4) How will your partner value each pile? How do you value each pile?