Fatty had much enjoyed his fun as the old Balloon-woman, and so had the others. He gave Bets the silver propelling-pencil and she was really delighted.

"I've never had such a lovely pencil," she said. "It writes in red and blue, as well as in ordinary lead. Thank you awfully, Fatty."

"The holidays are going too fast," said Pip, rather gloomily. "And we still haven't got a mystery to solve, though we know that Goon has."

"Yes, I know," said Fatty, looking worried. "I can't bear to think of Goon getting busy on his mystery, and we haven't the least idea what it is. Though it may be all those burglaries that are cropping up all over the place, you know—I expect most of the police are keeping their eyes skinned for the gang that is operating such big thefts."

"Can't we keep our eyes skinned too?" said Bets eagerly. "We might see the gang somewhere."

"Idiot! Do you suppose they go about in a crowd together, all looking like burglars?" said Pip scornfully. "They're too jolly clever. They have their own meeting-places their own way of passing on messages, their own ways of disposing of the jewels they steal—haven't they, Fatty? And they are not ways we would be likely to find out, even if we did keep our eyes skinned!"

"Oh," said Bets, disappointed. "Well—can't we ask Inspector Jenks if there really is a mystery here, and ask him to let us help?"

"Yes—why can't we?" said Daisy. "I'm sure he'd tell us. We've helped him such a lot before."

Inspector Jenks was their very good friend. He was what Bets called "a very high-up policeman," and he belonged to the next big town. In the four mysteries the children had solved before, Inspector Jenks had come in at the end, and been very pleased indeed at all the children had found out. Mr. Goon, however, had not been so pleased, because it was most annoying to him to have those "interfering children messing about with the Law"—especially when they had actually found out things he hadn't.

"I think it's a very good idea of Bets," said Fatty. "Very good indeed. If he knows what the mystery is that Goon is working on—and he's sure to—I don't see why he can't tell us. He knows we'll keep out mouths shut and do all we can to help."