Standard Mathematics Primary 6 Ratio

Ali, Ben and Clara shared $420 in the ratio 2 : 3 : 5. After sharing, Ali gave $20 of his share to Ben. How much money does Ben have in the end?

A $106
B $126
C $146
D $210
Show Worked Solution

Worked Solution

Step 1: Find the value of 1 part. Total parts = 2 + 3 + 5 = 10 1 part = $420 ÷ 10 = $42 Step 2: Find each person's initial share. Ali = 2 × $42 = $84 Ben = 3 × $42 = $126 Clara = 5 × $42 = $210 Check: $84 + $126 + $210 = $420 ✓ Step 3: Apply the transfer. Ali gives $20 to Ben. Ben's final amount = $126 + $20 = $146 Answer: $146

Correct answer: $146

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