Forming and Solving Inequalities from Real-World Money Problems

Forming and Solving Inequalities from Real-World Money Problems

Secondary 3

Alicia and Betty planned for a party and they decided not to spend more than \(\$150\). Alicia spent \(\$25\) more than one-fourth of what Betty spent.

  1. Let the amount that Betty spent be \(\$x\), form an inequality and do not simplify.
  2. Solve the inequality to find the maximum amount that Betty spent.

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Answer:(i) \(x+\left(\frac14x+25\right)\le150\). (ii) \(\$100\).

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