Mathematics 0580 · IGCSE · Equations

Equations — practice question

Paulo and Jim each purchase sacks of rice from different shops. Paulo pays $72 for sacks priced at $m each, whereas Jim pays $72 for sacks priced at $(m + 0.9)$ each.
(a(i))[1]

Find an expression, in terms of $m$, for the number of sacks Paulo buys.

(a(ii))[1]

Find an expression, in terms of $m$, for the number of sacks Jim buys.

(b)[4]

Write an equation, in terms of $m$, and show that it simplifies to $10m^2 + 9m - 162 = 0$.

(c(i))[3]

Solve $10m^2 + 9m - 162 = 0$.

(c(ii))[1]

Find how many sacks of rice Paulo buys.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: $ rac{72}{m}$

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