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Question 11b

Video explanation ↓

Rachel and Joanne gave away the same number of stickers. Rachel gave away 2/3 of her stickers and Joanne gave away 3/5 of her stickers. Rachel and Joanne had a total of 323 stickers. How many stickers did Rachel give away? (2 marks)

Answer: 102 stickers

Workings

equal fraction concept

step 1: find the equal fraction

Rachel and Joanne gave away the same number of stickers. Rachel gave away 2/3 of her stickers and Joanne gave away 3/5 of her stickers.

step 2: make numerators the same

2/3 rachel = 3/5 joanne

need find lowest common multiple of 2 and 3 → 6

6/9 rachel = 6/10 joanne

step 3 → convert to units

rachel total → 9u rachel gave away → 6u joanne total → 10u joanne gave away → 6u

total units → 9u + 10u = 19u

total → 323 stickers

19u → 323 stickers 1u → 323 ÷ 19 = 17 6u (rachel gave away) → 6 x 17 = 102

Video explanations

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