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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 11 · 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 ₹7 more than a pencil. 3 pens and 5 pencils cost ₹157 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 6 and then take away 3. The answer is 123. What is my number?
  3. 3.The length of a rectangle is 11 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 3 and then take away 1. The answer is 53. What is my number?
  5. 5.Solve for x: 5(x + 6) = 3x + 34. What is x?
  6. 6.I think of a number, multiply it by 5 and then take away 5. The answer is 85. What is my number?
  7. 7.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 4(x + 7) = x + 85. What is x?
  9. 9.I think of a number, multiply it by 6 and then take away 14. The answer is 148. What is my number?
  10. 10.Pooja has 30 coins, all ₹5 and ₹2 coins, worth ₹141 in all. How many ₹5 coins are there?
  11. 11.11 × ? − 2 = 251
  12. 12.The length of a rectangle is 12 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  13. 13.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 4 and then add 12. The answer is 132. What is my number?
  15. 15.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 2 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 5 and then add 34. The answer is 164. What is my number?
  18. 18.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 8(x + 8) = x + 183. What is x?
  20. 20.Solve for x: 3(x + 8) = x + 36. What is x?
  21. 21.A pen costs ₹2 more than a pencil. 5 pens and 4 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  22. 22.8 × ? + 7 = 111
  23. 23.Solve for x: 4(x + 1) = x + 49. What is x?
  24. 24.9 × ? − 14 = 211
  25. 25.Aarav has 28 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 8 and then add 40. The answer is 72. What is my number?
  27. 27.The length of a rectangle is 10 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  28. 28.Solve for x: 9(x + 9) = 5x + 157. What is x?
  29. 29.7 × ? + 1 = 162
  30. 30.Solve for x: 3(x + 3) = x + 17. What is x?
  31. 31.Meera has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 7(x + 4) = 5x + 34. What is x?
  33. 33.Solve for x: 7(x + 5) = 5x + 63. What is x?
  34. 34.Priya has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  35. 35.Meera has 21 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 3 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  37. 37.3 × ? + 26 = 89
  38. 38.The length of a rectangle is 2 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  39. 39.A pen costs ₹2 more than a pencil. 2 pens and 5 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹9 more than a pencil. 2 pens and 2 pencils cost ₹30 in all. What does one pencil cost (in ₹)?

Answer key

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

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