HOTS Mathematics Primary 6 Ratio

Ali and Benny share coins in the ratio 5 : 3. Ali gives 24 coins to Benny. Now they have equal numbers of coins. How many coins does each person have now?

A 72
B 96
C 120
D 48
Show Worked Solution

Worked Solution

Step 1: Let Ali = 5k and Benny = 3k. Step 2: After transfer: 5k − 24 = 3k + 24 (equal amounts). 2k = 48, k = 24. Step 3: Each person now has 3 × 24 + 24 = 96 coins. Step 4: Check: Ali originally = 120, Benny = 72. 120 − 24 = 96, 72 + 24 = 96. ✓ Answer: 96

Correct answer: 96

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