Galactic Exchange
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Introduction
It's the year 2075. You take a vacation to the planet Orange. When
you arrive, you notice coins of three different shapes: squares,
circles, triangles. Unfortunately, no one speaks your language,
and you're hungry. You find a food vending machine, but the prices
are worn off! You have to try different combinations of coins to
get food, and in addition, you will be able to figure out the
relations between the coins.
Applet
Questions:
 Buy a package of zoogs. What are the fewest number and types
of coins needed to purchase a package of zoogs using exact change?
 Which coin is worth the least, and how many of it does it take to
equal each of the other coins?
 How many of the least valuable coins would it take to buy a
package of zoogs?
 Buy a package of Glorps. What are the fewest number and types
of coins needed to purchase a package of Glorps using exact change?
How many of the least valuable coins would it take to buy a package
of Glorps?
 Another Earthling arrives on the next shuttle and wants to try
some Mushniks. Explain how you figured out the relations between
the coins.
 What are the fewest number and types of coins needed to purchase
a package of Mushniks using exact change?
Additional Practice
If you would like to practice this puzzle with different values,
go to our practice page. These puzzles are for practice 
you will not submit your solutions to the Math Forum. Enjoy!
