MIP1501Assignment 2 2025
Unique Number: 178117
Due date: 3 July 2025
QUESTION 1
1.1 Problem-Solving Task
1.1.1 Solving the Marble Problem:
Problem:
John had a few marbles. He doubled them, then Thabo gave him 3 more. Now he has 21.
How many did he start with?
Step-by-Step Solution (Using a bar model or number sentence):
Let the number of marbles John had be x.
He doubled them: that gives 2x.
Thabo gave him 3 more: now he has 2x + 3.
We know the total now is 21, so:
Equation:
2x + 3 = 21
DISCLAIMER & TERMS OF USE
Educational Aid: These study notes are intended to be used as educational resources and should not be seen as a
replacement for individual research, critical analysis, or professional consultation. Students are encouraged to perform
their own research and seek advice from their instructors or academic advisors for specific assignment guidelines.
Personal Responsibility: While every effort has been made to ensure the accuracy and reliability of the information in
these study notes, the seller does not guarantee the completeness or correctness of all content. The buyer is
responsible for verifying the accuracy of the information and exercising their own judgment when applying it to their
assignments.
Academic Integrity: It is essential for students to maintain academic integrity and follow their institution's policies
regarding plagiarism, citation, and referencing. These study notes should be used as learning tools and sources of
inspiration. Any direct reproduction of the content without proper citation and acknowledgment may be considered
academic misconduct.
Limited Liability: The seller shall not be liable for any direct or indirect damages, losses, or consequences arising from
the use of these notes. This includes, but is not limited to, poor academic performance, penalties, or any other negative
consequences resulting from the application or misuse of the information provided.
, For additional support +27 81 278 3372
QUESTION 1
1.1 Problem-Solving Task
1.1.1 Solving the Marble Problem:
Problem:
John had a few marbles. He doubled them, then Thabo gave him 3 more. Now he
has 21. How many did he start with?
Step-by-Step Solution (Using a bar model or number sentence):
Let the number of marbles John had be x.
He doubled them: that gives 2x.
Thabo gave him 3 more: now he has 2x + 3.
We know the total now is 21, so:
Equation:
2x + 3 = 21
Step 1: Subtract 3 from both sides:
2x = 18
Step 2: Divide both sides by 2:
x=9
Answer: John had 9 marbles at the beginning.
Explanation for Learners:
You first undo the +3 by subtracting. Then undo the doubling (×2) by dividing.
Working backwards helps solve the problem.
1.2 Historical Evolution of Numeration Systems
Unique Number: 178117
Due date: 3 July 2025
QUESTION 1
1.1 Problem-Solving Task
1.1.1 Solving the Marble Problem:
Problem:
John had a few marbles. He doubled them, then Thabo gave him 3 more. Now he has 21.
How many did he start with?
Step-by-Step Solution (Using a bar model or number sentence):
Let the number of marbles John had be x.
He doubled them: that gives 2x.
Thabo gave him 3 more: now he has 2x + 3.
We know the total now is 21, so:
Equation:
2x + 3 = 21
DISCLAIMER & TERMS OF USE
Educational Aid: These study notes are intended to be used as educational resources and should not be seen as a
replacement for individual research, critical analysis, or professional consultation. Students are encouraged to perform
their own research and seek advice from their instructors or academic advisors for specific assignment guidelines.
Personal Responsibility: While every effort has been made to ensure the accuracy and reliability of the information in
these study notes, the seller does not guarantee the completeness or correctness of all content. The buyer is
responsible for verifying the accuracy of the information and exercising their own judgment when applying it to their
assignments.
Academic Integrity: It is essential for students to maintain academic integrity and follow their institution's policies
regarding plagiarism, citation, and referencing. These study notes should be used as learning tools and sources of
inspiration. Any direct reproduction of the content without proper citation and acknowledgment may be considered
academic misconduct.
Limited Liability: The seller shall not be liable for any direct or indirect damages, losses, or consequences arising from
the use of these notes. This includes, but is not limited to, poor academic performance, penalties, or any other negative
consequences resulting from the application or misuse of the information provided.
, For additional support +27 81 278 3372
QUESTION 1
1.1 Problem-Solving Task
1.1.1 Solving the Marble Problem:
Problem:
John had a few marbles. He doubled them, then Thabo gave him 3 more. Now he
has 21. How many did he start with?
Step-by-Step Solution (Using a bar model or number sentence):
Let the number of marbles John had be x.
He doubled them: that gives 2x.
Thabo gave him 3 more: now he has 2x + 3.
We know the total now is 21, so:
Equation:
2x + 3 = 21
Step 1: Subtract 3 from both sides:
2x = 18
Step 2: Divide both sides by 2:
x=9
Answer: John had 9 marbles at the beginning.
Explanation for Learners:
You first undo the +3 by subtracting. Then undo the doubling (×2) by dividing.
Working backwards helps solve the problem.
1.2 Historical Evolution of Numeration Systems
