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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 14 · 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 6 and then take away 27. The answer is 75. What is my number?
  2. 2.A pen costs ₹6 more than a pencil. 2 pens and 6 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  3. 3.10 × ? + 1 = 81
  4. 4.Solve for x: 4(x + 9) = x + 81. What is x?
  5. 5.Pooja has 30 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹7 more than a pencil. 5 pens and 6 pencils cost ₹211 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 9 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 5 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  9. 9.11 × ? + 19 = 261
  10. 10.The length of a rectangle is 4 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  11. 11.Manav has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  13. 13.Vivaan has 20 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 5 and then add 35. The answer is 65. What is my number?
  16. 16.Arjun has 26 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  17. 17.Isha has 19 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  19. 19.Solve for x: 4(x + 7) = 2x + 58. What is x?
  20. 20.I think of a number, multiply it by 8 and then add 5. The answer is 189. What is my number?
  21. 21.3 × ? + 4 = 40
  22. 22.Isha has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  23. 23.Aarav has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹5 more than a pencil. 5 pens and 8 pencils cost ₹246 in all. What does one pencil cost (in ₹)?
  25. 25.7 × ? + 15 = 134
  26. 26.Solve for x: 6(x + 1) = 4x + 34. What is x?
  27. 27.Manav has 26 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  29. 29.Meera has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 4(x + 7) = x + 61. What is x?
  31. 31.8 × ? − 6 = 18
  32. 32.5 × ? − 10 = 15
  33. 33.A pen costs ₹10 more than a pencil. 4 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹13 more than a pencil. 5 pens and 4 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  35. 35.The length of a rectangle is 7 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 11 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  37. 37.A pen costs ₹8 more than a pencil. 5 pens and 7 pencils cost ₹232 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 8(x + 3) = 6x + 30. What is x?
  39. 39.I think of a number, multiply it by 7 and then take away 39. The answer is 157. What is my number?
  40. 40.I think of a number, multiply it by 2 and then add 34. The answer is 54. What is my number?

Answer key

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

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