Eric Nicholas K's answer to G's Primary 6 Maths Fractions Singapore question.

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
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We must do a backward approach to solve this problem.

Li Qin and Nadia must have had 180 buttons each at the end.

Before that, Li Qin gave away 1/4 of her buttons to reach 180 buttons left. This means that 3/4 of Li Qin's buttons = 180 buttons, so Li Qin had 240 buttons before this give-away while Nadia had 120 buttons.

Before Nadia had 120 buttons and Li Qin had 240 buttons, Nadia had given away 1/5 of her buttons.

This means that 4/5 of Nadia's buttons = 120 buttons, so Nadia had 150 buttons at the start.