Rice price reduction model

Rice price reduction model

Secondary 2
TGM Original Questions

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. Write the mass after the reduction.
  3. Given that she can buy \(5\frac59\) kg more, form an equation and show that \(x^2-8x-5760=0\).
  4. Solve and find the mass bought after the reduction.

Solution:

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Answer:(i) \(\frac{4000}{x}\) kg; (ii) \(\frac{4000}{x-8}\) kg; (iv) \(x=80\), so \(\frac{500}{9}=55\frac59\) kg.

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