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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 310 · 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.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 8(x + 7) = x + 70. What is x?
  3. 3.12 × ? − 11 = 85
  4. 4.Aarav has 30 coins, all ₹5 and ₹2 coins, worth ₹141 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 5 and then take away 21. The answer is 34. What is my number?
  6. 6.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  7. 7.Solve for x: 6(x + 7) = 3x + 78. What is x?
  8. 8.A pen costs ₹5 more than a pencil. 2 pens and 7 pencils cost ₹181 in all. What does one pencil cost (in ₹)?
  9. 9.2 × ? − 20 = 14
  10. 10.A pen costs ₹10 more than a pencil. 3 pens and 8 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 15 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  12. 12.Solve for x: 4(x + 8) = x + 65. What is x?
  13. 13.Solve for x: 4(x + 9) = 3x + 44. What is x?
  14. 14.Solve for x: 8(x + 3) = 3x + 79. What is x?
  15. 15.A pen costs ₹12 more than a pencil. 5 pens and 7 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹14 more than a pencil. 3 pens and 6 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  17. 17.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 8(x + 2) = 3x + 101. What is x?
  19. 19.Solve for x: 3(x + 7) = x + 43. What is x?
  20. 20.I think of a number, multiply it by 8 and then add 16. The answer is 96. What is my number?
  21. 21.The length of a rectangle is 12 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 7 and then add 8. The answer is 71. What is my number?
  23. 23.The length of a rectangle is 13 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  24. 24.Pooja has 26 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 8 and then add 17. The answer is 137. What is my number?
  26. 26.A pen costs ₹12 more than a pencil. 5 pens and 8 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 8 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  28. 28.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 13 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 3 and then add 5. The answer is 14. What is my number?
  31. 31.I think of a number, multiply it by 6 and then add 37. The answer is 73. What is my number?
  32. 32.Solve for x: 7(x + 6) = 6x + 46. What is x?
  33. 33.Manav has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  35. 35.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 7 and then add 17. The answer is 136. What is my number?
  37. 37.I think of a number, multiply it by 9 and then take away 33. The answer is 93. What is my number?
  38. 38.The length of a rectangle is 8 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 9 and then add 9. The answer is 234. What is my number?
  40. 40.I think of a number, multiply it by 4 and then take away 26. The answer is 70. What is my number?

Answer key

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

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