Restaurant Bill

Sessel ate a lot at his favorite Chinese restaurant, Be Happy in Your Wok, and then he paid his bill. If the bill had been half as much, he would have gotten three times as much change. If the bill had been two dollars more, he would have gotten only half as much change as he actually did get. So how much was his change?

Show/Hide Solution

Let’s say Sessel paid with a $C bill. His food bill was b, and he got ch in change.

So: C = b + ch = b/2 + 3ch = b + 2 + ch/2.
Equating b + ch = b + 2 + ch/2, we get:
ch = 2 + ch/2 → ch = 4.

Sessel’s change was $4.

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