### Brain Teasers

# Rebus vs. Math

A survey was taken among 100 brainiacs. Of those surveyed, twice as many brainiacs like rebus teasers as math teasers. If 18 brainiacs like both rebus teasers and math teasers and 4 like neither kind of teaser, how many brainiacs like math teasers but not rebus teasers?

### Answer

20x = number that like math.

2x = number that like rebus.

Add the number that like math to the number that like rebus.

We then must subtract off the number that likes both kinds of teasers and add the number that doesn't like either. The result will be equal to 100.

MATH + REBUS - BOTH + NEITHER = 100 .

x + 2x - 18 + 4 = 100.

So:

3x - 14 = 100, and so x = 38.

Thus 38 like math teasers, but of that number 18 also like rebus teasers. That leaves 20 that like only the math teasers.

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