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

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

A plain prata costs \($(x+3y)\), an egg prata costs \($(2x+y)\), and a cheese prata costs \($(3x-y)\). Joshua and Alex are eating together, Joshua orders \(2\) plain prata, \(2\) egg prata, and \(1\) cheese prata. Alex orders \(3\) plain prata and \(3\) egg prata.

  1. Write an expression for the cost of Joshua and Alex's meals.
  2. Whose meal costs more?
  3. Calculate the the value of \(y\) if the difference in their meals' prices is \(\$0.50\)

Solution:

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Answer:(a) Joshua: \(9x+7y\); Alex: \(9x+12y\). (b) Depends on the sign of \(y\). (c) \(y=\pm0.10\); if additionally \(y>0\), \(y=0.10\).

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