Elementary Lesson 2: The man who counted
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THE MAN WHO COUNTED
A Collection of Mathematical Adventures
BEASTS OF BURDEN
Of the singular episode of the thirty-five camels that were to be divided between three Arab brothers. How Beremiz Samir, the Man Who Counted, made an apparently impossible division that left the quarreling brothers completely satisfied. The unexpected profit that the transaction brought us.
We had been traveling for a few hours without stopping when there occurred an episode worth retelling, wherein my companion Beremiz put to use his talents as an esteemed cultivator of algebra.
Close to an old half abandoned inn, we saw three men arguing heatedly beside herd of camel. Amid the shouts and insults the men gestured wildly in fierce debate and we could hear their angry cries:
“It cannot be!”
“That is a robbery!”
“But I do not agree!”
The intelligent Beremiz asked them why they were quarreling.
“We are brothers,” the oldest explained, “And we received thirty-five camels as our inheritance. According to the express wishes of my father half of them belong to me, one-third to my brother Hamed, and one-ninth to Harim, the youngest. Nevertheless, we do not know how to make the division, and whatever one of us suggests the other two disputes. Of the solutions tried so far, none have been acceptable. If half of 35 is 17.5 if neither one-third nor one-ninth of this amount is a precise-number, then how can we make the division?”
“Very simple,” said the Man Who Counted. “I promise to make the division fairly, but let me add to the inheritance of 35 camels this splendid beast that brought us here at such an opportune moment.”
At this point, I intervened.
“But I cannot permit such madness. How are we going to continue on our journey if we are left without a camel?” “Do not worry, my Baghdad friend,” Beremiz, said in a whisper.
“I know exactly what I am doing. Give me your camel, and you will see what results.”
And such was the tone of confidence in his voice that, without the slightest hesitation, I gave over my beautiful Jamal, which was then added to the number that had to be divided between the three brothers.
“My friends,” he said, “I am going to make a fair and accurate division of the camels as you can see, now number 36.”
Turning to the eldest of the brothers, he spoke thus: “You would have half of 35—that is 17.5. Now you will receive half of 36—that is 18. You have nothing to complain about because you gain by this division.”
Turning to the second heir, he continued, “And you, Hamed, you would have received one-third of 35—that is, 11 and some. Now you will receive one-third of 36 that is 12. You cannot protest as you too gain by this division.
Finally, he spoke to the youngest, “And you young Harim Namir, according to your father’s last wishes you were to receive one-ninth of 35 or three camels and part of another. Nevertheless, I will give you one-ninth of 36, or 4. You have benefited substantially and should be grateful to me for it.”
And he concluded with the greatest confidence, “By this advantageous division, which has benefited everyone, 18 camels belong to the oldest, 12 to the next, and 4 to the youngest, which comes out to—18 + 12 + 4 = 34 camels. Of the 36 camels, therefore, there are 2 extra. One, as you know, belongs to my friend from Baghdad. The other rightly belongs to me for having resolved the complicated problem of the inheritance to everyone’s satisfaction.”
“Stranger, you are a most intelligent man,” exclaimed the oldest of the three brothers, “and we accept your solution with the confidence that it was achieved with justice and equity.”
The clever Beremiz the Man Who Counted, took possession of one of the finest animals in the herd and, handing me the reins of my own animal, said, “Now, dear friend, you can continue the journey on your camel, comfortable and content. I have one of my own to carry me.”
And we traveled on towards Baghdad.
- When did the travelers stop?
- Why did the travelers stop?
- Who did they see?
- Where did they stop?
- What did they hear?
Now you make questions based on the text and give the answers.
About the grammar
- How many regular and irregular past can you find?
- How many verbal tenses can you find?
- Forms of irregular verbs – Exercise 1
- Forms of irregular verbs in English – Test
- Irregular verbs – Exercise 1
- Irregular verbs – Exercise 2
- Irregular verbs – Exercise Mix 1
- Irregular verbs – Exercise Mix 2
- Irregular verbs – Exercise Mix 3
- Irregular verbs – Exercise Mix 4
- Irregular verbs – Simple Past – Crossword (medium)
- Irregular verbs in English – Test 2
- Irregular verbs (easy) – Crossword
- Regular or irregular verbs – Odd man out 2
- Regular verbs in English
- Regular verbs in English – Test
- Regular and irregular verbs in the Simple Past – Crossword 1
- Regular and irregular verbs in the Simple Past – Crossword 2
- Regular and irregular verbs in the Simple Past – Crossword 3
- Regular and irregular verbs in the Simple Past – Crossword 4
- Regular and irregular verbs in the Simple Past – Crossword 5
- Regular and irregular verbs in the Simple Past – Crossword 6
- Regular and irregular verbs in the Simple Past – Crossword 7
- Regular and irregular verbs in the Simple Past – Crossword 8
- Regular and irregular verbs in the Simple Past – Crossword 9
- Regular and irregular verbs in the Simple Past – Crossword 10
- Regular and irregular verbs in the Simple Past – Crossword 11
- Regular and irregular verbs in the Simple Past – Crossword 12
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