Advanced Mathematics Primary 6 Ratio

Priya, Ravi and Wei Lin won a school competition and shared the prize money of $840 in the ratio 2 : 3 : 5. After receiving their shares, Ravi gave $60 of his share to Priya. How much money does Priya have in the end?

A $228
B $168
C $252
D $312
Show Worked Solution

Worked Solution

Step 1: Find the total number of parts. 2 + 3 + 5 = 10 parts Step 2: Find the value of 1 part. $840 ÷ 10 = $84 Step 3: Find each person's original share. Priya: 2 × $84 = $168 Ravi: 3 × $84 = $252 Wei Lin: 5 × $84 = $420 Step 4: Apply the transfer — Ravi gives $60 to Priya. Priya's final amount: $168 + $60 = $228 Priya has $228 in the end.

Correct answer: $228

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