Standard Mathematics Primary 6 Algebra

Ahmad starts the week with $m$ dollars in pocket money. On Monday he spends one-third of his pocket money on a Geography textbook. On Tuesday he spends an additional $4 on a curry puff at the school canteen. Which expression represents, in dollars, the amount of pocket money Ahmad has left?

A (2/3)m - 4
B (1/3)m - 4
C m - 1/3 - 4
D (2/3)(m - 4)
Show Worked Solution

Worked Solution

Step 1: Ahmad starts with $m.\n Step 2: He spends 1/3 of his pocket money, which is (1/3) × m = m/3 dollars.\n Step 3: After the book, the amount left is m − m/3. Combining over a common denominator: m − m/3 = (3m − m)/3 = 2m/3, which is the same as (2/3)m.\n Step 4: He then spends $4 on a curry puff, so subtract 4: (2/3)m − 4.\n Step 5: Final expression: (2/3)m − 4 dollars. Answer: (2/3)m - 4

Correct answer: (2/3)m - 4

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