This study notes covers Worked Example 2: Three-Way Share within Ratio Sharing for GCSE Mathematics. Revise Ratio Sharing in Ratio & Proportion for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This topic shows up very often in GCSE exams, so students should be able to explain it clearly, not just recognise the term. It is section 5 of 7 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Worked Example 2: Three-Way Share
Share 120 sweets between Alice, Bob and Chloe in the ratio 2:3:5
Step 1 Total parts
2 + 3 + 5 = 10 parts
Step 2 One part
120 ÷ 10 = 12 sweets per part
Step 3 Each person's share
Alice: 2 × 12 = 24 sweets
Bob: 3 × 12 = 36 sweets
Chloe: 5 × 12 = 60 sweets
Check Verify
24 + 36 + 60 = 120 ✓
Practice questions for Ratio Sharing
£300 is shared in the ratio 2:3 What is the smaller share?
Liam says: "If you share £50 in the ratio 1:4, the larger share is £40." Explain why Liam is correct.