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Mystery addition
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Correct use of units is important in calculations. Sometimes, two plus two does not equal four, as in “two feet plus two inches equals....” Sometimes, 10 + 120 = 15, as in “10 min+120 sec = 15 hour.” Sometimes... why don’t you see for yourself?

Fill the blank spaces with units (inches, dimes, hours, etc.) in a way that makes the addition examples correct. Try to invent more than one set of answers for each question.

Example: 1... + 1... = 3...
Possible solutions:
1 pint + 1 cup = 3 cups or
1 quarter + 1 eighth = 3 eighths or
1 dime + 1 nickel = 3 nickels

  1. 3... + 2... = 32...
  2. 3... + 2... = 23...
  3. 3... + 2... = 17...
  4. 3... + 2... = 35...
  5. 3... + 2... = 182...
  6. 3... + 2... = 123...

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If the unit of the sum coincides with the unit of one of the addends (and let’s assume it is so), then it’s possible to find the relationship between the units of two addends.

Example:
In problem 1

3 (one unit) + 2 (another unit) = 32 (one of those two units).

If 3 and 32 are in the same units, then
29 (one unit) = 2 (another unit), which is strange.

If, on the other hand, 2 and 32 are in the same units, then
3 (one unit) = 30 (another unit),

or, in other words, one unit is ten times bigger than the other one. What can these two units be?

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  1. Decades, years, years or
    dimes, pennies, pennies.
  2. Weeks, days, days.
  3. Days, weeks, days.
  4. Weeks, weeks, days.
  5. Hours, minutes, minutes or
    minutes, seconds, seconds.
  6. Minutes, hours, minutes or
    seconds, minutes, seconds.

In all these problems, other answers may also be possible.

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