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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 969 · 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.Aarav has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 9 and then take away 39. The answer is 105. What is my number?
  3. 3.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  4. 4.Sneha has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  5. 5.3 × ? + 12 = 81
  6. 6.A pen costs ₹7 more than a pencil. 2 pens and 8 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 2 and then add 36. The answer is 54. What is my number?
  8. 8.A pen costs ₹14 more than a pencil. 3 pens and 8 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 14 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  10. 10.A pen costs ₹9 more than a pencil. 4 pens and 2 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  11. 11.11 × ? + 6 = 160
  12. 12.I think of a number, multiply it by 5 and then take away 30. The answer is 15. What is my number?
  13. 13.I think of a number, multiply it by 4 and then take away 22. The answer is 94. What is my number?
  14. 14.A pen costs ₹15 more than a pencil. 5 pens and 2 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 4(x + 7) = x + 46. What is x?
  16. 16.Nisha has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹11 more than a pencil. 5 pens and 5 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
  18. 18.3 × ? − 5 = 34
  19. 19.The length of a rectangle is 4 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 3 and then add 19. The answer is 40. What is my number?
  21. 21.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  22. 22.Solve for x: 4(x + 7) = 3x + 48. What is x?
  23. 23.I think of a number, multiply it by 7 and then add 6. The answer is 83. What is my number?
  24. 24.A pen costs ₹6 more than a pencil. 5 pens and 8 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  25. 25.11 × ? − 20 = 46
  26. 26.The length of a rectangle is 14 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  27. 27.A pen costs ₹5 more than a pencil. 2 pens and 6 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 5 and then add 39. The answer is 74. What is my number?
  29. 29.Solve for x: 7(x + 2) = 6x + 18. What is x?
  30. 30.8 × ? + 20 = 188
  31. 31.Ishaan has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  32. 32.2 × ? − 4 = 6
  33. 33.7 × ? + 4 = 67
  34. 34.A pen costs ₹4 more than a pencil. 6 pens and 8 pencils cost ₹234 in all. What does one pencil cost (in ₹)?
  35. 35.Manav has 26 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 9 and then add 5. The answer is 221. What is my number?
  37. 37.Solve for x: 3(x + 2) = x + 14. What is x?
  38. 38.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 4 and then add 34. The answer is 98. What is my number?
  40. 40.A pen costs ₹2 more than a pencil. 5 pens and 3 pencils cost ₹122 in all. What does one pencil cost (in ₹)?

Answer key

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

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