HOTS Mathematics Primary 6 Algebra

Mr Tan's hawker stall starts the day with x kg of rice. He uses one-third of the rice during the morning rush, then receives a delivery of (2x − 5) kg. Which expression shows the total amount of rice, in kg, at the stall after the delivery?

A 8x/3 − 5
B 8x/3 + 5
C 2x/3 + 5
D 8x/3 − 5x
Show Worked Solution

Worked Solution

Step 1: Find the rice remaining after the morning rush. One-third used → two-thirds remain. Remaining = x − x/3 = 3x/3 − x/3 = 2x/3 Step 2: Add the delivery. Total = 2x/3 + (2x − 5) Step 3: Convert 2x to thirds to combine like terms. 2x = 6x/3 Step 4: Combine. 2x/3 + 6x/3 − 5 = 8x/3 − 5 The total amount of rice is 8x/3 − 5 kg.

Correct answer: 8x/3 − 5

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