2012 H2 Mathematics Paper 1 Question 1

Equations and Inequalities

Answers

Cost of ticket for under 16 years:

{\$7.65}

Cost of ticket for between 16 and 65 years:

{\$9.85}

Cost of ticket for above 65 years:

{\$8.52}

Let

{x,y}

and

{z}

denote the cost of a ticket for under 16 years, between 16 and 65 years, and above 65 years respectively.

\begin{align} && \quad 9 x + 6 y + 4 z &= 162.03 \\ && \quad 7 x + 5 y + 3 z &= 128.36 \\ && \quad 10 x + 4 y + 5 z &= 158.5 \\ \end{align}

Solving

{(1), (2)}

and

{(3)}

with a GC,

x=7.65, \; y =9.85, \; z = 8.52

Cost of ticket for under 16 years:

{\$7.65 \; \blacksquare}

Cost of ticket for between 16 and 65 years:

{\$9.85 \; \blacksquare}

Cost of ticket for above 65 years:

{\$8.52 \; \blacksquare}