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When do two plans cost the same?

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

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

  1. Plan A has a joining fee of 43 dollars plus 3 dollars per month. Plan B has a joining fee of 36 dollars plus 4 dollars per month. After how many months do the two plans cost the same?
  2. Plan A has a joining fee of 22 dollars plus 5 dollars per month. Plan B has a joining fee of 34 dollars plus 3 dollars per month. After how many months do the two plans cost the same?
  3. Plan A has a joining fee of 34 dollars plus 8 dollars per month. Plan B has a joining fee of 44 dollars plus 7 dollars per month. After how many months do the two plans cost the same?
  4. Plan A has a joining fee of 34 dollars plus 5 dollars per month. Plan B has a joining fee of 14 dollars plus 7 dollars per month. After how many months do the two plans cost the same?
  5. Plan A has a joining fee of 21 dollars plus 9 dollars per month. Plan B has a joining fee of 41 dollars plus 5 dollars per month. After how many months do the two plans cost the same?
  6. Plan A has a joining fee of 39 dollars plus 2 dollars per month. Plan B has a joining fee of 27 dollars plus 3 dollars per month. After how many months do the two plans cost the same?
  7. Plan A has a joining fee of 47 dollars plus 5 dollars per month. Plan B has a joining fee of 56 dollars plus 2 dollars per month. After how many months do the two plans cost the same?
  8. Plan A has a joining fee of 59 dollars plus 3 dollars per month. Plan B has a joining fee of 23 dollars plus 6 dollars per month. After how many months do the two plans cost the same?
  9. Plan A has a joining fee of 12 dollars plus 5 dollars per month. Plan B has a joining fee of 27 dollars plus 4 dollars per month. After how many months do the two plans cost the same?
  10. Plan A has a joining fee of 28 dollars plus 5 dollars per month. Plan B has a joining fee of 19 dollars plus 8 dollars per month. After how many months do the two plans cost the same?
  11. Plan A has a joining fee of 20 dollars plus 3 dollars per month. Plan B has a joining fee of 6 dollars plus 4 dollars per month. After how many months do the two plans cost the same?
  12. Plan A has a joining fee of 26 dollars plus 3 dollars per month. Plan B has a joining fee of 6 dollars plus 4 dollars per month. After how many months do the two plans cost the same?
  13. Plan A has a joining fee of 45 dollars plus 7 dollars per month. Plan B has a joining fee of 57 dollars plus 4 dollars per month. After how many months do the two plans cost the same?
  14. Plan A has a joining fee of 33 dollars plus 9 dollars per month. Plan B has a joining fee of 148 dollars plus 4 dollars per month. After how many months do the two plans cost the same?
  15. Plan A has a joining fee of 32 dollars plus 6 dollars per month. Plan B has a joining fee of 9 dollars plus 7 dollars per month. After how many months do the two plans cost the same?
  16. Plan A has a joining fee of 45 dollars plus 3 dollars per month. Plan B has a joining fee of 60 dollars plus 2 dollars per month. After how many months do the two plans cost the same?
  17. Plan A has a joining fee of 45 dollars plus 3 dollars per month. Plan B has a joining fee of 16 dollars plus 4 dollars per month. After how many months do the two plans cost the same?
  18. Plan A has a joining fee of 39 dollars plus 4 dollars per month. Plan B has a joining fee of 31 dollars plus 6 dollars per month. After how many months do the two plans cost the same?
  19. Plan A has a joining fee of 59 dollars plus 6 dollars per month. Plan B has a joining fee of 39 dollars plus 8 dollars per month. After how many months do the two plans cost the same?
  20. Plan A has a joining fee of 33 dollars plus 4 dollars per month. Plan B has a joining fee of 55 dollars plus 2 dollars per month. After how many months do the two plans cost the same?
More free practice: fieldbooklearning.com/au/practice/year-8/when-do-two-plans-cost-the-same/

Answer key: When do two plans cost the same?

  1. 7
  2. 6
  3. 10
  4. 10
  5. 5
  6. 12
  7. 3
  8. 12
  9. 15
  10. 3
  11. 14
  12. 20
  13. 4
  14. 23
  15. 23
  16. 15
  17. 29
  18. 4
  19. 10
  20. 11