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It will take Peter 33 days to learn to spell a total of 75 words.

He is starting with 10 and will reach 75 words

when he has learned 75-10 = 65 new words.

At the rate of 2 words a day, this will take 65/2 or 321/2 days.

After 32 days he will know 10 + 64 = 74 words.

Therefore the 75th and 76th words will be learned on the 33rd day.

Algebraically, the answer n in days is solved from the equation 10 + 2n = 75 and rounded up.

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Q: Peter begins his kindergarten year able to spell 10 words and he is going to learn to spell 2 new words every day How many days does it take Peter to learn to spell a total of 75 words?
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