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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 383 · 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 ₹2 more than a pencil. 2 pens and 6 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  2. 2.2 × ? + 18 = 22
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 11 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 5 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 5 and then take away 13. The answer is 107. What is my number?
  7. 7.I think of a number, multiply it by 5 and then add 4. The answer is 94. What is my number?
  8. 8.I think of a number, multiply it by 6 and then take away 5. The answer is 7. What is my number?
  9. 9.2 × ? + 22 = 38
  10. 10.A pen costs ₹14 more than a pencil. 4 pens and 8 pencils cost ₹212 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹3 more than a pencil. 4 pens and 8 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  12. 12.3 × ? − 2 = 31
  13. 13.Solve for x: 3(x + 6) = 2x + 32. What is x?
  14. 14.9 × ? − 6 = 30
  15. 15.I think of a number, multiply it by 7 and then take away 8. The answer is 181. What is my number?
  16. 16.I think of a number, multiply it by 3 and then add 3. The answer is 39. What is my number?
  17. 17.3 × ? − 4 = 47
  18. 18.I think of a number, multiply it by 9 and then add 17. The answer is 44. What is my number?
  19. 19.The length of a rectangle is 13 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 6 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  21. 21.A pen costs ₹10 more than a pencil. 4 pens and 4 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹11 more than a pencil. 5 pens and 5 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  23. 23.Farhan has 19 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 9 and then add 5. The answer is 230. What is my number?
  25. 25.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 2 and then add 3. The answer is 13. What is my number?
  27. 27.3 × ? − 2 = 43
  28. 28.Kabir has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 7 and then take away 40. The answer is 51. What is my number?
  30. 30.10 × ? − 2 = 148
  31. 31.3 × ? + 30 = 75
  32. 32.I think of a number, multiply it by 9 and then take away 39. The answer is 69. What is my number?
  33. 33.I think of a number, multiply it by 5 and then add 37. The answer is 132. What is my number?
  34. 34.I think of a number, multiply it by 9 and then take away 36. The answer is 108. What is my number?
  35. 35.The length of a rectangle is 15 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  36. 36.Aditya has 19 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 7 and then take away 5. The answer is 58. What is my number?
  38. 38.Ishaan has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  39. 39.5 × ? + 21 = 131
  40. 40.A pen costs ₹13 more than a pencil. 3 pens and 6 pencils cost ₹102 in all. What does one pencil cost (in ₹)?

Answer key

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

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