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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 202 · 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.Saanvi has 30 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  2. 2.5 × ? − 6 = 59
  3. 3.A pen costs ₹8 more than a pencil. 3 pens and 3 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 14 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  5. 5.7 × ? + 17 = 31
  6. 6.2 × ? + 4 = 28
  7. 7.7 × ? + 18 = 193
  8. 8.Karan has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 6(x + 3) = 5x + 20. What is x?
  10. 10.Solve for x: 6(x + 1) = x + 26. What is x?
  11. 11.I think of a number, multiply it by 3 and then take away 5. The answer is 1. What is my number?
  12. 12.The length of a rectangle is 5 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  13. 13.A pen costs ₹7 more than a pencil. 3 pens and 2 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  14. 14.6 × ? − 2 = 64
  15. 15.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 9 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 8 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  18. 18.Ishaan has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 2 and then add 17. The answer is 25. What is my number?
  20. 20.I think of a number, multiply it by 4 and then take away 25. The answer is 55. What is my number?
  21. 21.Kabir has 16 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  22. 22.Manav has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  23. 23.10 × ? − 18 = 192
  24. 24.5 × ? + 13 = 103
  25. 25.A pen costs ₹10 more than a pencil. 2 pens and 7 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  26. 26.Kavya has 25 coins, all ₹5 and ₹2 coins, worth ₹122 in all. How many ₹5 coins are there?
  27. 27.8 × ? + 6 = 206
  28. 28.Solve for x: 9(x + 3) = 8x + 28. What is x?
  29. 29.Solve for x: 5(x + 2) = 2x + 19. What is x?
  30. 30.Solve for x: 7(x + 4) = 5x + 58. What is x?
  31. 31.A pen costs ₹8 more than a pencil. 3 pens and 8 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹35 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 2 and then take away 18. The answer is 18. What is my number?
  34. 34.I think of a number, multiply it by 7 and then add 26. The answer is 159. What is my number?
  35. 35.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  36. 36.12 × ? − 24 = 72
  37. 37.I think of a number, multiply it by 2 and then take away 13. The answer is 5. What is my number?
  38. 38.8 × ? − 21 = 131
  39. 39.Solve for x: 8(x + 4) = 6x + 60. What is x?
  40. 40.A pen costs ₹6 more than a pencil. 2 pens and 7 pencils cost ₹111 in all. What does one pencil cost (in ₹)?

Answer key

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

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