Choosing a root using a price condition

Choosing a root using a price condition

Secondary 2
TGM Original Questions

A shopkeeper buys \(x\) bags for \(\$150\). Six bags are sold for a total of \(\$108\). Each remaining bag is sold at a loss of \(\$2\) on its cost price. The overall profit is \(\$30\).

  1. Write the cost per bag.
  2. Write and simplify the total sales receipt.
  3. Form an equation and show that \(x^2-45x+450=0\).
  4. Given that the cost per bag is less than \(\$8\), solve the equation to find the actual number of bags and their cost per bag.

Solution:

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Answer:(a) \(\(\frac{150}{x}\); (b) \(\)270-2x-\frac{900}{x}\); (c) \(x^2-45x+450=0\); (d) \(x=30\), so \(30\) bags at \(\$5\) each.

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