Question 597022
Find the first number divisible by 4 starting with 197.
200 is divisible by 4 because 4*50=200. After that, every fourth number if divisible by 4
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200, 204, 208, 212,..., 300
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300 is the last number that is divisible by 4 because 4*75=300, and the next integer would be 304.
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There are 26 integers in this range; (300-200)/4 is 25, plus 1 extra because we include the numbers at both end of the range.
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To find the multiples of 10, we use a similar process. 
200 is the first (10*20=200), and 300 is the last (10*30).
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200, 210, 220, 230,..., 300
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There are 11 integers in this range; (300-200)/10 is 10, plus 1 extra because we include the integers at both ends of the range.
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That's it. Feel free to email via gmail if this explanation is unclear.
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Ms.Figgy
math.in.the.vortex@gmail