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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 715 · 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.The length of a rectangle is 3 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  2. 2.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 5 and then add 40. The answer is 145. What is my number?
  4. 4.3 × ? − 16 = 47
  5. 5.Karan has 23 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 5(x + 3) = 2x + 27. What is x?
  7. 7.I think of a number, multiply it by 6 and then take away 25. The answer is 119. What is my number?
  8. 8.A pen costs ₹14 more than a pencil. 4 pens and 8 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 7 and then add 30. The answer is 205. What is my number?
  10. 10.2 × ? − 23 = 1
  11. 11.I think of a number, multiply it by 8 and then take away 4. The answer is 92. What is my number?
  12. 12.Solve for x: 8(x + 7) = 2x + 98. What is x?
  13. 13.Manav has 19 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹14 more than a pencil. 6 pens and 3 pencils cost ₹237 in all. What does one pencil cost (in ₹)?
  15. 15.6 × ? − 26 = 88
  16. 16.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 3 and then add 8. The answer is 62. What is my number?
  18. 18.Solve for x: 8(x + 6) = 5x + 60. What is x?
  19. 19.3 × ? − 7 = 20
  20. 20.Tara has 15 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  21. 21.12 × ? + 11 = 167
  22. 22.6 × ? + 28 = 130
  23. 23.Kabir has 19 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 5(x + 4) = 3x + 22. What is x?
  26. 26.6 × ? + 4 = 76
  27. 27.I think of a number, multiply it by 3 and then take away 17. The answer is 1. What is my number?
  28. 28.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 3(x + 3) = x + 17. What is x?
  30. 30.12 × ? − 14 = 286
  31. 31.Pooja has 25 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 11 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  33. 33.A pen costs ₹2 more than a pencil. 3 pens and 8 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 7(x + 5) = 5x + 75. What is x?
  35. 35.A pen costs ₹10 more than a pencil. 2 pens and 5 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  36. 36.Diya has 19 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  37. 37.5 × ? + 16 = 61
  38. 38.Solve for x: 5(x + 6) = 2x + 75. What is x?
  39. 39.A pen costs ₹11 more than a pencil. 4 pens and 5 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹12 more than a pencil. 3 pens and 5 pencils cost ₹108 in all. What does one pencil cost (in ₹)?

Answer key

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

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