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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 651 · 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.I think of a number, multiply it by 4 and then take away 2. The answer is 70. What is my number?
  2. 2.Aarav has 21 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  3. 3.4 × ? − 22 = 2
  4. 4.A pen costs ₹6 more than a pencil. 2 pens and 4 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹15 more than a pencil. 6 pens and 8 pencils cost ₹328 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 6(x + 1) = 2x + 62. What is x?
  7. 7.I think of a number, multiply it by 6 and then add 1. The answer is 103. What is my number?
  8. 8.A pen costs ₹7 more than a pencil. 6 pens and 6 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 6(x + 1) = 3x + 60. What is x?
  10. 10.I think of a number, multiply it by 3 and then add 11. The answer is 71. What is my number?
  11. 11.Solve for x: 7(x + 1) = 3x + 79. What is x?
  12. 12.Diya has 30 coins, all ₹5 and ₹2 coins, worth ₹138 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 5 and then take away 11. The answer is 69. What is my number?
  14. 14.Ishaan has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  15. 15.4 × ? − 4 = 4
  16. 16.A pen costs ₹2 more than a pencil. 6 pens and 4 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  17. 17.3 × ? + 14 = 47
  18. 18.Arjun has 22 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  19. 19.Solve for x: 4(x + 5) = 2x + 48. What is x?
  20. 20.I think of a number, multiply it by 4 and then add 28. The answer is 80. What is my number?
  21. 21.A pen costs ₹3 more than a pencil. 4 pens and 5 pencils cost ₹183 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 2 and then take away 16. The answer is 14. What is my number?
  23. 23.A pen costs ₹9 more than a pencil. 5 pens and 6 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 4(x + 1) = x + 19. What is x?
  25. 25.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  26. 26.8 × ? + 1 = 121
  27. 27.A pen costs ₹14 more than a pencil. 4 pens and 5 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 2 and then add 5. The answer is 33. What is my number?
  29. 29.7 × ? − 11 = 115
  30. 30.I think of a number, multiply it by 3 and then add 19. The answer is 25. What is my number?
  31. 31.9 × ? − 3 = 15
  32. 32.10 × ? + 14 = 154
  33. 33.9 × ? − 12 = 24
  34. 34.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 10 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  37. 37.A pen costs ₹13 more than a pencil. 3 pens and 2 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  38. 38.Rohan has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  39. 39.2 × ? + 5 = 17
  40. 40.Aarav has 18 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?

Answer key

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

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