Aisha, Wei Lin, and Ravi share stickers in the ratio 2 : 3 : 5. Aisha gives Wei Lin 4 stickers. Wei Lin then has twice as many stickers as Aisha. Find the total number of stickers the three friends have.
Show Worked Solution
Worked Solution
Step 1: Let Aisha = 2k, Wei Lin = 3k, Ravi = 5k.
Step 2: After Aisha gives 4 stickers: Aisha = 2k − 4, Wei Lin = 3k + 4.
Step 3: Condition: Wei Lin = 2 × Aisha → 3k + 4 = 2(2k − 4) → 3k + 4 = 4k − 8 → k = 12.
Step 4: Total = (2 + 3 + 5) × 12 = 10 × 12 = 120 stickers.
Correct answer: 120
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