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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 855 · 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.Ananya has 16 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 6 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  4. 4.Solve for x: 4(x + 1) = 3x + 18. What is x?
  5. 5.A pen costs ₹12 more than a pencil. 5 pens and 7 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  7. 7.3 × ? − 15 = 39
  8. 8.3 × ? + 17 = 32
  9. 9.12 × ? − 27 = 93
  10. 10.12 × ? + 21 = 213
  11. 11.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 4 and then take away 3. The answer is 117. What is my number?
  13. 13.I think of a number, multiply it by 2 and then add 20. The answer is 38. What is my number?
  14. 14.7 × ? + 22 = 176
  15. 15.I think of a number, multiply it by 6 and then add 32. The answer is 182. What is my number?
  16. 16.The length of a rectangle is 12 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 3 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  18. 18.Diya has 15 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  20. 20.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 2 and then take away 19. The answer is 15. What is my number?
  23. 23.I think of a number, multiply it by 8 and then take away 24. The answer is 16. What is my number?
  24. 24.Dev has 26 coins, all ₹5 and ₹2 coins, worth ₹127 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 8 and then take away 40. The answer is 16. What is my number?
  26. 26.5 × ? − 1 = 124
  27. 27.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  28. 28.A pen costs ₹7 more than a pencil. 6 pens and 5 pencils cost ₹163 in all. What does one pencil cost (in ₹)?
  29. 29.7 × ? + 5 = 68
  30. 30.Solve for x: 5(x + 1) = 3x + 19. What is x?
  31. 31.I think of a number, multiply it by 3 and then take away 12. The answer is 48. What is my number?
  32. 32.Nisha has 15 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  33. 33.2 × ? − 13 = 11
  34. 34.I think of a number, multiply it by 6 and then take away 40. The answer is 116. What is my number?
  35. 35.Aarav has 21 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 9 and then take away 4. The answer is 32. What is my number?
  37. 37.The length of a rectangle is 8 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  38. 38.Solve for x: 4(x + 1) = 3x + 21. What is x?
  39. 39.A pen costs ₹13 more than a pencil. 5 pens and 2 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 4 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?

Answer key

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

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