2025 CVSS WA2 Q6

2025 CVSS WA2 Q6

6 marks

An outdoor dining set consists of a table, \(4\) chairs and \(2\) benches.

A table costs \(6\) times as much as a chair.

A bench costs \(\$10\) more than a chair.

Let the price of a chair be \(\$x\).

  1. Write down an expression in terms of \(x\), for the price of a table.[1]
  2. Write down an expression in terms of \(x\), for the price of a bench.[1]
  3. The outdoor dining set, consisting of a table, \(4\) chairs and \(2\) benches, costs \(\$116\).[1]

Write down an equation in \(x\) to represent this information.

  1. Solve the equation in part (c) to find the price of a bench.[3]

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Answer:(a) \(\$6x\) (b) \(\$(x+10)\) (c) \(12x+20=116\) (d) \(\$18\)

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