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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 476 · 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 ₹15 more than a pencil. 5 pens and 2 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  2. 2.10 × ? − 2 = 158
  3. 3.Solve for x: 9(x + 6) = 2x + 61. What is x?
  4. 4.6 × ? − 15 = 81
  5. 5.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  6. 6.A pen costs ₹5 more than a pencil. 4 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  7. 7.2 × ? + 21 = 71
  8. 8.Karan has 16 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  10. 10.7 × ? + 19 = 61
  11. 11.I think of a number, multiply it by 9 and then add 19. The answer is 181. What is my number?
  12. 12.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  13. 13.8 × ? + 16 = 160
  14. 14.I think of a number, multiply it by 6 and then add 3. The answer is 141. What is my number?
  15. 15.I think of a number, multiply it by 5 and then take away 6. The answer is 64. What is my number?
  16. 16.I think of a number, multiply it by 3 and then add 36. The answer is 60. What is my number?
  17. 17.The length of a rectangle is 14 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  18. 18.Solve for x: 4(x + 5) = 3x + 36. What is x?
  19. 19.A pen costs ₹4 more than a pencil. 5 pens and 5 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 5 and then add 18. The answer is 108. What is my number?
  21. 21.I think of a number, multiply it by 3 and then take away 1. The answer is 89. What is my number?
  22. 22.I think of a number, multiply it by 2 and then take away 6. The answer is 12. What is my number?
  23. 23.7 × ? − 8 = 153
  24. 24.2 × ? + 28 = 36
  25. 25.5 × ? − 26 = 49
  26. 26.A pen costs ₹6 more than a pencil. 3 pens and 6 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹14 more than a pencil. 5 pens and 7 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  28. 28.10 × ? − 15 = 175
  29. 29.2 × ? + 3 = 39
  30. 30.Nisha has 30 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  31. 31.11 × ? + 21 = 120
  32. 32.I think of a number, multiply it by 4 and then take away 33. The answer is 63. What is my number?
  33. 33.6 × ? + 5 = 59
  34. 34.6 × ? + 15 = 159
  35. 35.The length of a rectangle is 14 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 2 and then add 14. The answer is 30. What is my number?
  37. 37.Tara has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹9 more than a pencil. 4 pens and 7 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹13 more than a pencil. 4 pens and 8 pencils cost ₹268 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 7(x + 8) = 2x + 131. What is x?

Answer key

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

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