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