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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 289 · 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. 1.5 × ? − 15 = 80
  2. 2.A pen costs ₹8 more than a pencil. 2 pens and 5 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  3. 3.Arjun has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 15 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  6. 6.12 × ? + 9 = 117
  7. 7.I think of a number, multiply it by 7 and then take away 23. The answer is 103. What is my number?
  8. 8.Pooja has 28 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 5 and then take away 37. The answer is 78. What is my number?
  10. 10.Solve for x: 3(x + 5) = x + 33. What is x?
  11. 11.2 × ? + 30 = 50
  12. 12.3 × ? − 11 = 13
  13. 13.Zoya has 30 coins, all ₹5 and ₹2 coins, worth ₹123 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 4 and then add 38. The answer is 98. What is my number?
  15. 15.A pen costs ₹13 more than a pencil. 6 pens and 6 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  16. 16.Pooja has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  17. 17.Manav has 15 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹14 more than a pencil. 6 pens and 8 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 4 and then add 38. The answer is 70. What is my number?
  20. 20.A pen costs ₹5 more than a pencil. 5 pens and 5 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 6 and then take away 35. The answer is 43. What is my number?
  22. 22.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  23. 23.Solve for x: 7(x + 2) = x + 74. What is x?
  24. 24.I think of a number, multiply it by 2 and then add 25. The answer is 81. What is my number?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  26. 26.Meera has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹4 more than a pencil. 2 pens and 8 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 3(x + 3) = 2x + 16. What is x?
  29. 29.I think of a number, multiply it by 8 and then add 13. The answer is 181. What is my number?
  30. 30.I think of a number, multiply it by 4 and then take away 7. The answer is 17. What is my number?
  31. 31.The length of a rectangle is 12 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  32. 32.12 × ? + 29 = 149
  33. 33.Aditya has 17 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  34. 34.3 × ? − 16 = 20
  35. 35.I think of a number, multiply it by 4 and then add 16. The answer is 52. What is my number?
  36. 36.Solve for x: 7(x + 6) = 4x + 60. What is x?
  37. 37.9 × ? − 20 = 115
  38. 38.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  39. 39.Rahul has 22 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  40. 40.Isha has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?

Answer key

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

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