`person( 1 )` {had to `DO`|was assigned} `PROBLEMS` `START` through `END` for homework {{last {week|night}}|tonight}.

If `person( 1 )` `DID` all of the `PROBLEMS` `he( 1 )` was assigned, how many `PROBLEMS` did `he( 1 )` `DO`?

`ANSWER` `PROBLEMS`

Instead of counting `PROBLEMS` `START` through `END`, we can subtract `START - 1` from each number so we instead consider `PROBLEMS` 1 through `ANSWER`.

We see that `person( 1 )` `DID` `ANSWER` `PROBLEMS`.

Notice that `he( 1 )` `DID` `ANSWER` and not `ANSWER - 1` `PROBLEMS`.

A baker has a whole {baguette|loaf of bread}.

How many cuts must {he|she} make to have exactly `NUM` even slices?

`NUM -1` cuts

One cut will make two slices, two cuts will make three slices, and so on.

Therefore, we need `NUM - 1` cuts to make `NUM` slices.

`person( 1 )` is building a straight fence, with posts one meter apart.

If the fence is `LENGTH` meters long, how many fence posts does `he( 1 )` need?

`LENGTH + 1` fence posts

If the fence is one meter long, `he( 1 )` needs two posts (one for each end).

If the fence is two meters long, then `he( 1 )` needs three posts, and so on.

Therefore, `he( 1 )` needs `LENGTH + 1` posts for a `LENGTH` meter fence.