HOTS Mathematics Primary 6 Algebra

In a Singapore canteen, a plate of chicken rice costs $a and a fruit juice costs $b. The total cost of 3 plates of chicken rice and 4 fruit juices is $20. Stan orders 6 plates of chicken rice and 8 fruit juices for his friends and pays with a $50 note. How much change should Stan get back?

A $10
B $20
C $40
D $30
Show Worked Solution

Worked Solution

Step 1: Notice that 6a + 8b = 2 × (3a + 4b) — Stan's order is exactly DOUBLE the original order. Step 2: Cost of the original order: 3a + 4b = $20. Step 3: Cost of Stan's order: 2 × $20 = $40. Step 4: Change = $50 − $40 = $10. Answer: $10

Correct answer: $10

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