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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 170 · 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. 1.10 × ? + 12 = 72
  2. 2.Arjun has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  3. 3.6 × ? − 8 = 34
  4. 4.The length of a rectangle is 5 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  5. 5.2 × ? + 27 = 37
  6. 6.Farhan has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  7. 7.Solve for x: 4(x + 5) = x + 53. What is x?
  8. 8.A pen costs ₹11 more than a pencil. 2 pens and 5 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 6 and then take away 2. The answer is 130. What is my number?
  10. 10.The length of a rectangle is 14 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 5 and then add 23. The answer is 148. What is my number?
  12. 12.I think of a number, multiply it by 7 and then take away 3. The answer is 130. What is my number?
  13. 13.A pen costs ₹9 more than a pencil. 6 pens and 6 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 8(x + 9) = 5x + 111. What is x?
  15. 15.7 × ? − 21 = 7
  16. 16.12 × ? − 3 = 201
  17. 17.I think of a number, multiply it by 5 and then take away 36. The answer is 9. What is my number?
  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.Solve for x: 3(x + 7) = x + 31. What is x?
  20. 20.A pen costs ₹11 more than a pencil. 3 pens and 3 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 9 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 7 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 3 and then add 1. The answer is 67. What is my number?
  24. 24.6 × ? + 26 = 62
  25. 25.The length of a rectangle is 11 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  26. 26.Solve for x: 7(x + 7) = x + 151. What is x?
  27. 27.2 × ? + 10 = 16
  28. 28.Arjun has 25 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  29. 29.Tara has 26 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 7 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  31. 31.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  32. 32.8 × ? + 1 = 97
  33. 33.Rohan has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  34. 34.11 × ? + 7 = 194
  35. 35.Meera has 24 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  36. 36.Aarav has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  37. 37.Solve for x: 3(x + 8) = 2x + 26. What is x?
  38. 38.Ishaan has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  39. 39.Diya has 30 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹15 more than a pencil. 2 pens and 8 pencils cost ₹210 in all. What does one pencil cost (in ₹)?

Answer key

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

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