Mathematics 0580 · IGCSE · Inequalities

Inequalities — practice question

Klaus purchases $x$ silver balloons and $y$ gold balloons for a party. He gets more gold balloons than silver balloons, at least 15 silver balloons, fewer than 50 gold balloons, and in total no more than 70 balloons.
(a)[4]

State four inequalities, in terms of $x$ and/or $y$, to represent this information.

(b)[5]

On the grid, represent the information from part (a) by drawing four straight lines and shading the regions that are not needed.

(c)[2]

Calculate the maximum amount Klaus could spend.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: $y>x$

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