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Year 11 General Linear Equations And Their Graphs

Developing A Formula: Setting Up Linear Equations In Two Unknowns

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Question 1
55245

Tickets to a concert cost \(\$45\) for an adult and \(\$25\) for a child. 

i) Construct a formula for the total amount \(C\) paid by \(x\) adults and \(y\) children.

ii) Find the amount paid by \(120\) adults and \(40\) children. 

i) \(C=45x+25y\)  ii) \(\$6400\)

\begin{align}
\text{i)  }C=45x+25y\\
\end{align}

\begin{align}
\text{ii)  }x=120, &\quad y=40\\
C&=45 \times 120+25 \times 40\\
&=\$6400
\end{align}

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