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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 579 · 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 ₹5 more than a pencil. 4 pens and 6 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 7(x + 2) = 6x + 32. What is x?
  3. 3.I think of a number, multiply it by 9 and then take away 2. The answer is 232. What is my number?
  4. 4.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  5. 5.Priya has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  6. 6.2 × ? + 1 = 43
  7. 7.The length of a rectangle is 9 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 5 and then add 15. The answer is 135. What is my number?
  9. 9.9 × ? + 1 = 64
  10. 10.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹3 more than a pencil. 5 pens and 6 pencils cost ₹202 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 9 and then take away 4. The answer is 68. What is my number?
  13. 13.I think of a number, multiply it by 3 and then add 4. The answer is 79. What is my number?
  14. 14.Solve for x: 4(x + 5) = 2x + 60. What is x?
  15. 15.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 7(x + 1) = 4x + 10. What is x?
  17. 17.Farhan has 23 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 3 and then add 5. The answer is 26. What is my number?
  19. 19.Solve for x: 5(x + 8) = x + 76. What is x?
  20. 20.I think of a number, multiply it by 6 and then take away 3. The answer is 159. What is my number?
  21. 21.7 × ? − 16 = 159
  22. 22.A pen costs ₹12 more than a pencil. 5 pens and 6 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 7(x + 1) = x + 55. What is x?
  24. 24.I think of a number, multiply it by 3 and then add 22. The answer is 34. What is my number?
  25. 25.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  26. 26.Aditya has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  27. 27.Arjun has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹12 more than a pencil. 3 pens and 7 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  29. 29.Kabir has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 4 and then take away 24. The answer is 8. What is my number?
  31. 31.A pen costs ₹15 more than a pencil. 2 pens and 5 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹5 more than a pencil. 6 pens and 2 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 6(x + 2) = 2x + 76. What is x?
  34. 34.The length of a rectangle is 4 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  35. 35.10 × ? − 26 = 214
  36. 36.Solve for x: 9(x + 6) = x + 174. What is x?
  37. 37.I think of a number, multiply it by 6 and then take away 5. The answer is 13. What is my number?
  38. 38.11 × ? − 28 = 60
  39. 39.I think of a number, multiply it by 3 and then take away 4. The answer is 86. What is my number?
  40. 40.A pen costs ₹15 more than a pencil. 6 pens and 8 pencils cost ₹244 in all. What does one pencil cost (in ₹)?

Answer key

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

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