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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 497 · 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.Manav has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹4 more than a pencil. 3 pens and 6 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 11 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 7 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  5. 5.3 × ? − 11 = 7
  6. 6.I think of a number, multiply it by 4 and then take away 30. The answer is 26. What is my number?
  7. 7.I think of a number, multiply it by 5 and then add 1. The answer is 121. What is my number?
  8. 8.I think of a number, multiply it by 2 and then take away 1. The answer is 51. What is my number?
  9. 9.2 × ? + 28 = 68
  10. 10.A pen costs ₹4 more than a pencil. 6 pens and 5 pencils cost ₹167 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 9 and then add 34. The answer is 196. What is my number?
  12. 12.I think of a number, multiply it by 4 and then take away 35. The answer is 21. What is my number?
  13. 13.4 × ? − 2 = 6
  14. 14.A pen costs ₹14 more than a pencil. 5 pens and 2 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  15. 15.Tara has 28 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 13 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  17. 17.Solve for x: 3(x + 4) = 2x + 26. What is x?
  18. 18.9 × ? + 1 = 82
  19. 19.Solve for x: 6(x + 1) = 2x + 22. What is x?
  20. 20.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
  21. 21.7 × ? − 7 = 84
  22. 22.A pen costs ₹3 more than a pencil. 2 pens and 4 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 3(x + 1) = x + 19. What is x?
  24. 24.A pen costs ₹10 more than a pencil. 2 pens and 5 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 4 and then take away 5. The answer is 95. What is my number?
  26. 26.2 × ? − 7 = 29
  27. 27.A pen costs ₹2 more than a pencil. 2 pens and 4 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  28. 28.6 × ? − 18 = 24
  29. 29.9 × ? + 28 = 136
  30. 30.Solve for x: 4(x + 8) = 3x + 43. What is x?
  31. 31.A pen costs ₹6 more than a pencil. 3 pens and 7 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 9 and then add 15. The answer is 231. What is my number?
  33. 33.6 × ? − 29 = 55
  34. 34.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  35. 35.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 2 and then add 17. The answer is 45. What is my number?
  37. 37.Solve for x: 4(x + 1) = 2x + 24. What is x?
  38. 38.Karan has 29 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 6 and then take away 3. The answer is 45. What is my number?
  40. 40.I think of a number, multiply it by 6 and then take away 10. The answer is 14. What is my number?

Answer key

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

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