Zaben's Imaginative Math

Zaben Oldwheel was always a kid with big dreams and imagination. However since Zaben spent most of his time daydreaming, he never learnt about the number 3. Every time he would reach a number with 3 in it, he would simply skip to the next one. He starts off by counting 1,2,4,5, 1, 2, 4, 5, \ldots

Now, if Zaben Oldwheel were to count from 1 to 100, how many terms would there be?

(Hint: Remember in Zaben's mind any number with 3 doesn't exist.)

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