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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 763 · 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. 1.7 × ? + 12 = 117
  2. 2.Manav has 25 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  3. 3.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
  4. 4.7 × ? + 9 = 30
  5. 5.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 7 and then take away 13. The answer is 43. What is my number?
  7. 7.Aarav has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹9 more than a pencil. 4 pens and 7 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  9. 9.11 × ? + 25 = 256
  10. 10.Solve for x: 6(x + 6) = 2x + 52. What is x?
  11. 11.I think of a number, multiply it by 4 and then take away 12. The answer is 56. What is my number?
  12. 12.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  13. 13.12 × ? + 16 = 52
  14. 14.The length of a rectangle is 15 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 10 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  16. 16.Pooja has 21 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  17. 17.Solve for x: 6(x + 2) = 3x + 72. What is x?
  18. 18.The length of a rectangle is 10 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  19. 19.Aarav has 21 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹2 more than a pencil. 2 pens and 6 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 8(x + 1) = 3x + 53. What is x?
  22. 22.The length of a rectangle is 11 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 4 and then take away 8. The answer is 40. What is my number?
  24. 24.Saanvi has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹8 more than a pencil. 6 pens and 3 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  26. 26.5 × ? + 8 = 23
  27. 27.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹39 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹3 more than a pencil. 6 pens and 8 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 9 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  30. 30.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  31. 31.Nisha has 27 coins, all ₹5 and ₹2 coins, worth ₹120 in all. How many ₹5 coins are there?
  32. 32.12 × ? + 20 = 260
  33. 33.I think of a number, multiply it by 2 and then add 40. The answer is 74. What is my number?
  34. 34.I think of a number, multiply it by 6 and then add 28. The answer is 142. What is my number?
  35. 35.Solve for x: 8(x + 9) = 4x + 136. What is x?
  36. 36.Zoya has 28 coins, all ₹5 and ₹2 coins, worth ₹128 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 8 and then add 3. The answer is 123. What is my number?
  39. 39.5 × ? + 29 = 144
  40. 40.I think of a number, multiply it by 3 and then take away 2. The answer is 10. What is my number?

Answer key

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

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