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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 453 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.A pen costs ₹15 more than a pencil. 4 pens and 3 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 8 and then add 29. The answer is 149. What is my number?
  3. 3.The length of a rectangle is 10 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  4. 4.9 × ? + 26 = 53
  5. 5.The length of a rectangle is 14 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  6. 6.A pen costs ₹11 more than a pencil. 4 pens and 3 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  7. 7.Meera has 19 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  8. 8.Kabir has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 13 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 12 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  11. 11.A pen costs ₹3 more than a pencil. 6 pens and 5 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 8(x + 9) = 6x + 86. What is x?
  14. 14.Solve for x: 9(x + 1) = 5x + 45. What is x?
  15. 15.Solve for x: 6(x + 1) = 3x + 48. What is x?
  16. 16.I think of a number, multiply it by 3 and then add 9. The answer is 39. What is my number?
  17. 17.Arjun has 27 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  18. 18.Tara has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  19. 19.Solve for x: 3(x + 1) = x + 33. What is x?
  20. 20.Zoya has 21 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹3 more than a pencil. 5 pens and 5 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 8 and then take away 9. The answer is 127. What is my number?
  23. 23.2 × ? + 20 = 32
  24. 24.The length of a rectangle is 15 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  26. 26.7 × ? − 21 = 140
  27. 27.I think of a number, multiply it by 5 and then take away 39. The answer is 16. What is my number?
  28. 28.The length of a rectangle is 5 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  29. 29.Solve for x: 8(x + 6) = 5x + 84. What is x?
  30. 30.6 × ? + 27 = 39
  31. 31.7 × ? − 23 = 82
  32. 32.A pen costs ₹10 more than a pencil. 5 pens and 2 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 5 and then take away 2. The answer is 48. What is my number?
  34. 34.10 × ? + 2 = 82
  35. 35.6 × ? − 12 = 42
  36. 36.A pen costs ₹11 more than a pencil. 5 pens and 6 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  37. 37.7 × ? − 7 = 63
  38. 38.The length of a rectangle is 5 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 13 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 11 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?

Answer key

  1. 20
  2. 15
  3. 12
  4. 3
  5. 4
  6. 18
  7. 9
  8. 7
  9. 17
  10. 30
  11. 3
  12. 4
  13. 7
  14. 9
  15. 14
  16. 10
  17. 11
  18. 1
  19. 15
  20. 2
  21. 10
  22. 17
  23. 6
  24. 26
  25. 29
  26. 23
  27. 11
  28. 17
  29. 12
  30. 2
  31. 15
  32. 10
  33. 10
  34. 8
  35. 9
  36. 6
  37. 10
  38. 20
  39. 7
  40. 9

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