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Answer

• maxloo · 26 Jun 2026, 19:45 · official answer

  (a)
  Let $n$ be the number of nuggets Mrs Lim prepared.
  Let $x$ be the number of nuggets Mrs Lim ordered midway through the party.

  Activity	Number of drumsticks	Number of nuggets
  At the start	90	n
  Eaten	40% $\times$ 90	90% $\times$ n
  After ordering more nuggets	60% $\times$ 90	10% $\times$ n + x

  Since thrice as many nuggets as drumsticks were eaten,

  90% $\times$ n	= 40% $\times$ 90 $\times$ 3
  $n$	= $\boxed{120}$

  (b)
  Since there was an equal number of drumsticks and nuggets after ordering,

  10% $\times$ n + x	= 60% $\times$ 90
  12 + x	= 54
  $x$	= $\boxed{42}$

  (c)
  Midway through the party before Mrs Lim bought more nuggets,

  Number of nuggets left	= 10% $\times$ n
  	= 10% $\times$ 120
  	= 12
  Hence, percentage increase in number of nuggets	= $\dfrac{42}{12}$ $\times$ 100%
  	= $\boxed{350\%}$

  I understand this answer