Priya, Siti and Wei Lin share 180 stickers in the ratio 4 : 3 : 2. After receiving her share, Priya gives 1/4 of her stickers to Siti. What is the new ratio of Priya's stickers to Siti's stickers?
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Worked Solution
Step 1: Find each person's share.
Total parts = 4 + 3 + 2 = 9
1 part = 180 ÷ 9 = 20 stickers
Priya = 4 parts = 4 × 20 = 80 stickers
Siti = 3 parts = 3 × 20 = 60 stickers
Step 2: Find how many stickers Priya gives to Siti.
1/4 of Priya's share = 1/4 × 80 = 20 stickers
Step 3: Update both counts.
Priya's new total = 80 − 20 = 60 stickers
Siti's new total = 60 + 20 = 80 stickers
Step 4: Write and simplify the new ratio.
Priya : Siti = 60 : 80
Divide both by HCF 20: 60 ÷ 20 : 80 ÷ 20 = 3 : 4
The new ratio of Priya's stickers to Siti's stickers is 3 : 4.
Correct answer: 3 : 4
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