Electronics kits and costs
Electronics kits and costs
Secondary 2
8 marks
TGM Original Questions
A maker buys \(60\) sensors at \(x\) cents each and \(40\) cables at \(y\) cents each. The total cost is \(\$68\), and the sensors cost \(\$28\) more in total than the cables.
- Form two equations in \(x\) and \(y\) to represent the information.[2]
- Solve the equations obtained in (a) to find the cost of one sensor and the cost of one cable.[3]
- The parts are packed into \(20\) identical kits, each containing \(3\) sensors and \(2\) cables. Find the cost per kit and the selling price per kit for a \(25\)% profit.[3]
Solution:
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Answer:(a) \(60x+40y=6800,60x-40y=2800\) (b) \(x=80,y=50\) (c) \(\text{cost}\hspace{0.5em}\$3.40,\text{ price}\hspace{0.5em}\$4.25\)
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