Your friend has over 200 stamps. He has a stamp book where he can put 30 stamps on each page. He has placed the stamps in his stamp book in such a way that the only page which is not completely filled with stamps is the last one. The last page has 5 stamps in it. What is the smallest number of stamps your friend can have?
I can write this as an equation: 30x + 5 = S, where x is the number of full pages and S is the total number of stamps. I want to find the smallest possible value of S that satisfies this equation and is also greater than 200. I can try some values of x and see what happens. If x = 0, then S = 5, which is too small. If x = 1, then S = 35, which is also too small. If x = 2, then S = 65, which is still too small. If x = 3, then S = 95, which is not enough. If x = 4, then S = 125, which is also not enough. If x = 5, then S = 155, which is still not enough. If x = 6, then S = 185, which is getting closer but not quite there. If x = 7, then S = 215, which is the first value of S that is greater than 200. This means that the smallest possible number of stamps my friend can have is 215. 