Henry Ernest Dudeney/Modern Puzzles/8 - Buying Buns/Mistake

Source Work

1926: Henry Ernest Dudeney: Modern Puzzles:

Arithmetical and Algebraical Problems

Money Puzzles

$8$ -- Buying Buns

1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems:

Arithmetical and Algebraical Problems

Money Puzzles

$5$ -- Buying Buns

Mistake

Buns were being sold at three prices:

one a penny,

two a penny,

and three a penny.

Some children (there were as many boys as girls) were given sevenpence to spend on these buns, each receiving exactly alike.

How many buns did each receive?

Of course no buns were divided.

The solution offered:

There must have been three boys and three girls,

each of whom received two buns at three a penny

and one bun at two a penny,

the cost of which would be exactly sevenpence.

Correction

There are in fact $12$ solutions.

The full analysis can be found here.

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Solutions: $8$. -- Buying Buns
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $5$. Buying Buns