MIP1501
Assignment 2 2025
Unique #:178117
Due Date: 3 July 2025
Detailed solutions, explanations, workings
and references.
+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
Varsity Cube 2025 +27 81 278 3372
Assignment 2 2025
Unique #:178117
Due Date: 3 July 2025
Detailed solutions, explanations, workings
and references.
+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
Varsity Cube 2025 +27 81 278 3372
