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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 718 · 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.The length of a rectangle is 4 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  2. 2.Solve for x: 5(x + 1) = 2x + 53. What is x?
  3. 3.A pen costs ₹7 more than a pencil. 2 pens and 5 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  4. 4.Manav has 16 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  5. 5.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  6. 6.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹11 more than a pencil. 6 pens and 3 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹14 more than a pencil. 6 pens and 8 pencils cost ₹294 in all. What does one pencil cost (in ₹)?
  9. 9.Ananya has 22 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 11 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  11. 11.Isha has 16 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 8 and then take away 1. The answer is 63. What is my number?
  13. 13.I think of a number, multiply it by 5 and then add 24. The answer is 144. What is my number?
  14. 14.Solve for x: 5(x + 4) = 2x + 80. What is x?
  15. 15.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 8 and then add 40. The answer is 280. What is my number?
  17. 17.A pen costs ₹6 more than a pencil. 3 pens and 7 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹14 more than a pencil. 5 pens and 4 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  19. 19.Ishaan has 23 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  20. 20.The length of a rectangle is 15 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 2 and then take away 6. The answer is 40. What is my number?
  22. 22.I think of a number, multiply it by 8 and then take away 38. The answer is 154. What is my number?
  23. 23.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 5 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 12 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  26. 26.6 × ? + 22 = 148
  27. 27.The length of a rectangle is 10 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  28. 28.Rohan has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹5 more than a pencil. 2 pens and 2 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 8 and then add 11. The answer is 59. What is my number?
  31. 31.I think of a number, multiply it by 3 and then add 24. The answer is 81. What is my number?
  32. 32.9 × ? + 28 = 181
  33. 33.I think of a number, multiply it by 7 and then take away 17. The answer is 172. What is my number?
  34. 34.5 × ? + 10 = 25
  35. 35.The length of a rectangle is 3 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  36. 36.12 × ? + 28 = 316
  37. 37.Solve for x: 5(x + 6) = x + 90. What is x?
  38. 38.The length of a rectangle is 10 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  39. 39.Rahul has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  40. 40.9 × ? − 28 = 116

Answer key

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

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