Rice price reduction model

Rice price reduction model

Secondary 2
8 marks
TGM Original Questions

Optional extension

A shopper plans to spend \(\$40\) on rice at \(x\) cents per kilogram. The price later falls by \(8\) cents.

  1. Write the planned mass.[2]
  2. Write the mass after the reduction.[2]
  3. Given that she can buy \(5\dfrac59\) kg more, form an equation and show that \(x^2-8x-5760=0\).[2]
  4. Solve and find the mass bought after the reduction.[2]

Solution:

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Answer:(i) \(\dfrac{4000}{x}\) kg (ii) \(\dfrac{4000}{x-8}\) kg (iv) \(x=80\), so \(\dfrac{500}{9}=55\dfrac59\) kg. (iii) \(x^2-8x-5760=0\) (shown).

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