Answer to May 18,1998 Problem of the Week

Answer to May 18, 1998 Problem

Handley Sandwich Problem Handley seniors Thad and Amanda are eating lunch when they are joined by Mike. Amanda has 5 sandwiches, Thad has 3 sandwiches, and Mike has none. They all share equally in the meal. If Mike pays $4.00 for what he ate, how should the money be divided between Amanda and Thad?
Solution to Problem: Amanda should recieve $3.50 and Thad $.50. Each person eats 2 2/3 sandwiches. Amanda contributes 2 1/3 sandwiches (or 7/3). Thad contributes 1/3 of a sandwich. Therefore Amanda gives 7 times as much as Thad, and should be paid in that ratio.

Handley Sandwich Problem

Handley seniors Thad and Amanda are eating lunch when they are joined by Mike. Amanda has 5 sandwiches, Thad has 3 sandwiches, and Mike has none. They all share equally in the meal. If Mike pays $4.00 for what he ate, how should the money be divided between Amanda and Thad?

Solution to Problem:

Amanda should recieve $3.50 and Thad $.50.

Each person eats 2 2/3 sandwiches.
Amanda contributes 2 1/3 sandwiches (or 7/3).
Thad contributes 1/3 of a sandwich.
Therefore Amanda gives 7 times as much as Thad, and should be paid in that ratio.

Correctly solved by:

1. Nate Zuckerman	Winchester, VA
2. Laura Yoder	Winchester, VA
3. Matt Leatherman	Winchester, VA