Math Forum - Problem of the Week


Galactic Exchange II

[Spanish version]

It's the year 2075. You take a vacation to the planet Orange where the monetary system is measured in calzeeks. When you arrive, you are issued coins of three different values in the shapes of squares, circles, and triangles. You are hungry and you find a vending machine.

Applet
Click here to show vending machine

Questions:

  1. By using the machine to buy food, determine the relative values of the coins.

  2. Two of the three prices on the vending machine are worn off but you can see that Glorps cost 55 calzeeks. What would be the cost of the Zoogs and Mushniks? How many calzeeks is each coin worth?

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