Two inequalities in a purchasing context
Two inequalities in a purchasing context
Secondary 2
6 marks
TGM Original Questions
Optional extension
The number of kits must be an integer.
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.
- 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.[1]
Solution:
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Answer:(a) \(x\ge120\) and \(45x\le6300\) (b) \(120\le x\le140\) (c) \(140\) kits. In part (b), show the integers from 120 to 140 inclusive as separate points.
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