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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 975 · 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.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  2. 2.8 × ? − 10 = 94
  3. 3.I think of a number, multiply it by 9 and then take away 34. The answer is 110. What is my number?
  4. 4.I think of a number, multiply it by 9 and then add 21. The answer is 165. What is my number?
  5. 5.4 × ? + 13 = 33
  6. 6.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  7. 7.Solve for x: 7(x + 2) = 6x + 30. What is x?
  8. 8.The length of a rectangle is 15 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  9. 9.5 × ? + 5 = 25
  10. 10.A pen costs ₹9 more than a pencil. 5 pens and 7 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  11. 11.Aarav has 16 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹15 more than a pencil. 2 pens and 8 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  13. 13.Ishaan has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 8 and then take away 26. The answer is 62. What is my number?
  15. 15.The length of a rectangle is 3 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  16. 16.11 × ? + 10 = 263
  17. 17.8 × ? + 3 = 115
  18. 18.Meera has 20 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  19. 19.5 × ? + 30 = 85
  20. 20.I think of a number, multiply it by 6 and then add 32. The answer is 122. What is my number?
  21. 21.A pen costs ₹4 more than a pencil. 5 pens and 6 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  22. 22.12 × ? + 8 = 68
  23. 23.The length of a rectangle is 6 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  24. 24.Solve for x: 6(x + 9) = 2x + 58. What is x?
  25. 25.Farhan has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  26. 26.The length of a rectangle is 12 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 5 and then add 18. The answer is 93. What is my number?
  28. 28.11 × ? + 19 = 294
  29. 29.I think of a number, multiply it by 4 and then add 10. The answer is 90. What is my number?
  30. 30.Solve for x: 4(x + 4) = x + 37. What is x?
  31. 31.6 × ? + 28 = 52
  32. 32.Ananya has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  33. 33.Solve for x: 8(x + 6) = 6x + 76. What is x?
  34. 34.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  35. 35.Zoya has 17 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 10 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  37. 37.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹199 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 6(x + 2) = 2x + 92. What is x?
  39. 39.Manav has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹57 in all. What does one pencil cost (in ₹)?

Answer key

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

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