Linear Equations and Inequalities

Linear Equations and Inequalities

Secondary 3

A club has a budget of \(\$350\). It buys one table costing \(\$86\) and \(n\) chairs costing \(\$32\) each.

  1. Form and solve an inequality for \(n\).

  2. Find the greatest number of chairs it can buy.

  3. Verify your answer by comparing the costs of that number and one additional chair.

Solution:

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Answer:(a) \(86+32n\leq350\), so \(n\leq8.25\); (b) Maximum 8 chairs; (c) Costs \(\$342\) and \(\$374\).

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