Linear Equations and Inequalities - Applications of Linear Equations in Real Life

Linear Equations and Inequalities - Applications of Linear Equations in Real Life

IP 1
6 marks

An apprentice technician and a senior technician worked for \(7\) hours and \(9\) hours respectively. The senior technician's hourly rate was \(\$6\) more than the apprentice technician's hourly rate.

  1. Let the apprentice technician's hourly rate be \(\$x\). Write expressions, in terms of \(x\), for the amounts earned by the apprentice technician and the senior technician.

    [2]
  2. Given that the senior technician earned \(\$96\) more than the apprentice technician, calculate the amount earned by the senior technician.

    [4]

Solution:

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Answer:(i) \(7x,\quad 9(x+6)\) (ii) \(\$243\)​

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