Henry Ernest Dudeney/Puzzles and Curious Problems/300 - Fresh Fruits

Puzzles and Curious Problems by Henry Ernest Dudeney: $300$

Fresh Fruits

Some fresh fruit was being weighed for some domestic purpose.

It was found that the apples, pears and plums exactly balanced each other as follows:

One pear and three apples weigh the same as $10$ plums;

and one apple and six plums weigh the same as one pear.

How many plums alone would weigh the same as one pear?

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Magic Square, Measuring, Weighing, and Packing Problems: $300$. -- Fresh Fruits
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Weight Puzzles: $100$. Fresh Fruits