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South Africa: choose your country
Grade 8 maths · J.14 · Systems of equations

When do two plans cost the same?

Write each plan as an equation and set the costs equal. Solve for the number of months.

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  1. Plan A has a joining fee of 50 dollars plus 2 dollars per month. Plan B has a joining fee of 39 dollars plus 3 dollars per month. After how many months do the two plans cost the same?

    Answer: 11

  2. Plan A has a joining fee of 27 dollars plus 2 dollars per month. Plan B has a joining fee of 21 dollars plus 5 dollars per month. After how many months do the two plans cost the same?

    Answer: 2

  3. Plan A has a joining fee of 48 dollars plus 7 dollars per month. Plan B has a joining fee of 103 dollars plus 2 dollars per month. After how many months do the two plans cost the same?

    Answer: 11

Tip: Write each plan as an equation and set the costs equal. Solve for the number of months.

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