Difference between revisions of "Simple Division Problems"

Latest revision as of 18:59, 22 November 2022

[Expand]same amount of money between two groups of people

[Expand]two amounts of money between two groups of people

Category	Comment	Link	Annotated text
divide a quantity problem/simple division	two amounts of money between two groups of people	חשבון_השטחים#0rxj	[5] If you are told: we divide ten dirham among people. :Each one receives a thing. :Then we add to them four people and divide thirty dirham among all. :Each one of them receives four dirham less than each one of the former. : $\scriptstyle\begin{cases}\scriptstyle\frac{10}{a}=x\\\scriptstyle\frac{30}{a+4}=x-4\end{cases}$ ואם יאמרו לך חלקנו עשרה אדרהמיש על אנשים ועלה לכל אחד מהם דבר והוספנו עליהם ארבעה אנשים וחלקנו על כלם שלשים אדרהמיש ועלה לכל אחד מהם פחות מאשר עלה לראשונים ארבעה אדרהמיש
divide a quantity problem/simple division	two amounts of money between two groups of people	חשבון_השטחים#NF2x	[8] This is as when you are told: we divide twenty dirham among people. :Each one receives a thing. :Then we add to them two people and divide sixty dirham among all. :Each one of them receives five dirham more than each one of the former. : $\scriptstyle\begin{cases}\scriptstyle\frac{20}{a}=x\\\scriptstyle\frac{60}{a+2}=x+5\end{cases}$ והוא כי כאשר יאמרו לך עשרים אדרהמיש חלקנום על אנשים והגיע לכל אחד מהם דבר והוספנו עליהם שני אנשים וחלקנו עליהם ששים אדרהמיש ועלה לאחד מהם יותר מאשר עלה לאחד מהראשונים בחמשה אדרהמיש
divide a quantity problem/simple division	two amounts of money between two groups of people	חשבון_השטחים#65ve	[9] If you are told: we divide ten dirham among people. :Each one receives a thing. :Then we add to them six people and divide forty dirham among all. :Each one of them receives as much as each one of the former equally. : $\scriptstyle\begin{cases}\scriptstyle\frac{10}{a}=x\\\scriptstyle\frac{40}{a+6}=x\end{cases}$ ואם יאמרו לך חלקנו עשרה אדרהמיש על אנשים והגיע לאחד דבר והוספנו עליהם ששה אנשים וחלקנו בין כולם ארבעים אדרהמיש והגיע לאחד מהם כמו שהגיע לאחד מהראשונים בשוה
divide a quantity problem/simple division	two amounts of money between two groups of people	חשבון_השטחים#fCoU	[7] If you are told: we divide sixty dirham [among people]. :Each one receives a thing. :Then we add to them three people and divide twenty dirham among all. :Each one of them receives twenty-six dirham less than each one of the former. : $\scriptstyle\begin{cases}\scriptstyle\frac{60}{a}=x\\\scriptstyle\frac{20}{a+3}=x-26\end{cases}$ ואם יאמרו לך חלקנו ששים אדרהמיש ועלה לאחד דבר והוספנו עליהם שלשה אנשים וחלקנו עליהם עשרים אדרהמיש ועלה לאחד פחות מאשר עלה לאחד מהראשונים עשרים וששה אדרהמיש
divide a quantity problem/simple division	two amounts of money between two groups of people	חשבון_השטחים#YO6T	[6] If you are told: we divide ten dirham among people. :Each one receives a thing. :Then we add to them four people and divide sixty dirham among all. :Each one of them receives five dirham more than each one of the former. : $\scriptstyle\begin{cases}\scriptstyle\frac{10}{a}=x\\\scriptstyle\frac{60}{a+4}=x+5\end{cases}$ ואם יאמרו לך חלקנו עשרה אדרהמיש על אנשים ועלה לכל אחד דבר והוספנו עליהם ארבעה אנשים וחלקנו עליהם ששים אדרהמיש ועלה לאחד יותר ממה שעלה לאחד מהראשונים חמשה אדרהמיש

[Expand]four men - measures of wheat

[Expand]four sons

[Expand]loans repayment

[Expand]money

[Expand]purse

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+<div class="mw-collapsible mw-collapsed">two amounts of money between two groups of people<div class="mw-collapsible-content">
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+}}</div></div><br>
+<div class="mw-collapsible mw-collapsed">four men - measures of wheat<div class="mw-collapsible-content">
+{{#annotask:
+	[[category: #simple division]]
+	[[comment: four men - measures of wheat]]
+}}</div></div><br>
+<div class="mw-collapsible mw-collapsed">four sons<div class="mw-collapsible-content">
+{{#annotask:
+	[[category: #simple division]]
+	[[comment: four sons]]
+}}</div></div><br>
+<div class="mw-collapsible mw-collapsed">loans repayment<div class="mw-collapsible-content">
+{{#annotask:
+	[[category: #simple division]]
+	[[comment: loans repayment]]
+}}</div></div><br>
+<div class="mw-collapsible mw-collapsed">money<div class="mw-collapsible-content">
+{{#annotask:
+	[[category: #simple division]]
+	[[comment: money]]
+}}</div></div><br>
+<div class="mw-collapsible mw-collapsed">purse<div class="mw-collapsible-content">
+{{#annotask:
+	[[category: #simple division]]
+	[[comment: purse]]
+}}</div></div><br>

Difference between revisions of "Simple Division Problems"

Latest revision as of 18:59, 22 November 2022

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Category	Comment	Link	Annotated text
divide a quantity problem/simple division	money	ספר_ציפרא#k9es	Likewise, if you have 12 and you wish to divide them to a third, a half, and a quarter, so that nothing remains : $\scriptstyle\frac{1}{2}X+\frac{1}{3}X+\frac{1}{4}X=12$ וכן אם בידך י"ב פשי' ותרצה לחלקם לחצאין לשליש ולרביעי ולא ישאר כלום
divide a quantity problem/simple division	money	ספר_ציפרא#8Dxu	18) If you want to divide 5 pešiṭim to one third and one quarter so that nothing remains : $\scriptstyle\frac{1}{3}X+\frac{1}{4}X=5$ י"ח אם תרצה לחלק ה"פ לשליש ולרביע ולא ישאר מהן כלום