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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 359 · 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 ₹14 more than a pencil. 4 pens and 3 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 6 and then add 27. The answer is 57. What is my number?
  3. 3.5 × ? + 18 = 118
  4. 4.4 × ? + 10 = 26
  5. 5.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 4(x + 8) = x + 47. What is x?
  7. 7.11 × ? − 19 = 157
  8. 8.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 4 and then take away 5. The answer is 19. What is my number?
  10. 10.Solve for x: 9(x + 6) = 2x + 124. What is x?
  11. 11.A pen costs ₹11 more than a pencil. 4 pens and 4 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹3 more than a pencil. 5 pens and 3 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 13 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 3 and then add 38. The answer is 74. What is my number?
  15. 15.I think of a number, multiply it by 4 and then add 35. The answer is 59. What is my number?
  16. 16.I think of a number, multiply it by 2 and then add 36. The answer is 80. What is my number?
  17. 17.Meera has 22 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 9(x + 2) = x + 26. What is x?
  19. 19.Vivaan has 30 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 8 and then take away 13. The answer is 211. What is my number?
  22. 22.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 8 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  24. 24.Isha has 22 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 6 and then add 3. The answer is 27. What is my number?
  26. 26.I think of a number, multiply it by 9 and then take away 10. The answer is 89. What is my number?
  27. 27.A pen costs ₹12 more than a pencil. 4 pens and 5 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 9 and then add 20. The answer is 218. What is my number?
  29. 29.I think of a number, multiply it by 2 and then take away 21. The answer is 19. What is my number?
  30. 30.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  31. 31.10 × ? + 4 = 204
  32. 32.The length of a rectangle is 15 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  33. 33.A pen costs ₹9 more than a pencil. 4 pens and 4 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  34. 34.9 × ? − 6 = 21
  35. 35.The length of a rectangle is 8 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  36. 36.2 × ? + 7 = 15
  37. 37.Solve for x: 3(x + 6) = 2x + 38. What is x?
  38. 38.7 × ? − 7 = 70
  39. 39.The length of a rectangle is 7 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  40. 40.A pen costs ₹13 more than a pencil. 2 pens and 6 pencils cost ₹130 in all. What does one pencil cost (in ₹)?

Answer key

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

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