Optional extension A shopkeeper buys $x$ bags for $$150$. Six bags are sold for a total of \($10

Question

Optional extension 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$.

Accepted Answer

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

Choosing a root using a price condition

Choosing a root using a price condition

Solution:

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