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← Nanyang Primary School · Paper 22025 / Nanyang Primary School · Paper 2 / Question 10a

Question 10a

Video explanation ↓

There were some fruits in a crate. 4/9 of them were strawberries and 2/3 of the remainder were mangoes. The rest of them were pineapples. There were 105 more strawberries than pineapples. How many mangoes were there? (3 marks)

Answer: 150 mangoes

Workings

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remainder → 1 - 4/9 = 5/9

pineapple → 1/3 x 5/9 = 5/27

difference (strawberries and pineapple) → 105

difference fraction (strawberries and pineapple) → 4/9 - 5/27 = 12/27 - 5/27 = 7/27

difference (units) → 7u

7u → 105 1u → 105 ÷ 7 = 15

mangoes → 1 - 4/9 - 5/27 = 1 - 12/27 - 5/27 = 10/27

mangoes (units) → 10u 10u → 15 x 10 = 150

Video explanations

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