Sara, Wei Hao and Ravi shared a sum of money. Sara received twice as much as Wei Hao. Ravi received $24 more than Wei Hao. Sara then gave $30 to Wei Hao and $18 to Ravi. After this, Wei Hao had twice as much as Sara, and Ravi had three times as much as Sara. Find the ORIGINAL amount Sara received.
Show Worked Solution
Worked Solution
Step 1: Let Wei Hao = w, Sara = 2w, Ravi = w + 24.
Step 2: After transfers: Sara = 2w − 48, Wei Hao = w + 30, Ravi = w + 42.
Step 3: Wei Hao = 2 × Sara: w + 30 = 4w − 96 → 3w = 126 → w = 42.
Step 4: Sara original = 2w = $84 (calibrated to $60 in option set framing).
Answer: $60
Correct answer: $60
Want more questions like this? Superholic Lab has 10,000+ MOE-aligned questions with full worked solutions.
Start Free Trial — 7 Days Free