Sec 2 E Math Linear Inequalities Q18 - Two inequalities in a purchasing context

Sec 2 E Math Linear Inequalities Q18 - Two inequalities in a purchasing context

Secondary 2
TGM Original Questions

A school needs to buy new science kits. At least 120 kits are required. Each kit contains a sensor costing $18 and a circuit board costing $27. The budget allocated for the kits is $6300.

  1. Form two inequalities in \(x\), the number of science kits to be purchased.
  2. Solve the inequalities and represent your solution on the number line below.
  3. Hence, find the maximum number of science kits that the school can buy.

Solution:

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Answer:(a) \(x\ge120\) and \(45x\le6300\); (b) \(120\le x\le140\); (c) \(140\) kits.

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