We’re giving out apples to a group of boys. If we distribute the entire supply, then every boy will get three, except for one, who will get two. If instead we give each boy two apples, then we’ll have eight apples left over. How many apples are there altogether?
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This can be done intuitively. Imagine handing out the apples as described in the first case and then taking back one apple from each of the boys who received three. At that point we’ll be holding eight apples. So there are 9 boys and 26 apples.
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