Two siblings, Eric and Alex, must divide the 10 hours of computer time available to them for the week. Seven hours are weekday hours, and the remaining 3 hours are on the weekend. Eric prefers weekday hours to weekend hours in a 2-to-1 ratio. Alex prefers weekend hours over weekday hours by a ratio of 3 to 1. Neither boy is willing to create divisions that are the same. They agree to use the divide-and-choose method for two players.
a. How could Eric fairly divide the computer time if he were the divider? Then indicate which option Alex would choose, and explain why.
b. How could Alex fairly divide the computer time if he were the divider? Then indicate which option Eric would choose, and explain why.
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