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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 51 · 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 ₹10 more than a pencil. 5 pens and 4 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 12 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  3. 3.Manav has 17 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 4 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  5. 5.A pen costs ₹14 more than a pencil. 5 pens and 5 pencils cost ₹240 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹14 more than a pencil. 6 pens and 5 pencils cost ₹304 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 6 and then add 3. The answer is 15. What is my number?
  8. 8.Rohan has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 5(x + 4) = 3x + 34. What is x?
  10. 10.I think of a number, multiply it by 5 and then add 9. The answer is 84. What is my number?
  11. 11.I think of a number, multiply it by 6 and then take away 8. The answer is 34. What is my number?
  12. 12.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 6 and then take away 15. The answer is 147. What is my number?
  14. 14.The length of a rectangle is 3 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  15. 15.Solve for x: 8(x + 3) = 3x + 64. What is x?
  16. 16.Pooja has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  17. 17.Tara has 22 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  18. 18.4 × ? − 29 = 31
  19. 19.3 × ? + 23 = 74
  20. 20.I think of a number, multiply it by 6 and then take away 6. The answer is 174. What is my number?
  21. 21.8 × ? + 28 = 44
  22. 22.I think of a number, multiply it by 4 and then take away 8. The answer is 56. What is my number?
  23. 23.9 × ? − 4 = 122
  24. 24.12 × ? − 6 = 66
  25. 25.Solve for x: 8(x + 9) = 7x + 92. What is x?
  26. 26.Solve for x: 6(x + 6) = 5x + 37. What is x?
  27. 27.Kavya has 18 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 4 and then add 30. The answer is 138. What is my number?
  29. 29.Tara has 26 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 2 and then add 15. The answer is 55. What is my number?
  32. 32.A pen costs ₹9 more than a pencil. 3 pens and 8 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 7 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 5 and then add 18. The answer is 103. What is my number?
  36. 36.I think of a number, multiply it by 2 and then take away 10. The answer is 40. What is my number?
  37. 37.The length of a rectangle is 10 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 3 and then take away 1. The answer is 56. What is my number?
  39. 39.A pen costs ₹14 more than a pencil. 6 pens and 4 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹3 more than a pencil. 2 pens and 4 pencils cost ₹114 in all. What does one pencil cost (in ₹)?

Answer key

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

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