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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 934 · 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. 1.7 × ? + 16 = 58
  2. 2.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 4 and then take away 9. The answer is 3. What is my number?
  4. 4.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹2 more than a pencil. 6 pens and 6 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 5(x + 3) = 3x + 33. What is x?
  7. 7.Karan has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 7 and then add 27. The answer is 48. What is my number?
  9. 9.4 × ? − 3 = 57
  10. 10.I think of a number, multiply it by 7 and then take away 40. The answer is 23. What is my number?
  11. 11.Rahul has 24 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 9(x + 3) = 3x + 129. What is x?
  13. 13.I think of a number, multiply it by 2 and then add 6. The answer is 34. What is my number?
  14. 14.The length of a rectangle is 7 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 3 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 3 and then add 21. The answer is 90. What is my number?
  19. 19.I think of a number, multiply it by 7 and then add 16. The answer is 79. What is my number?
  20. 20.A pen costs ₹4 more than a pencil. 3 pens and 6 pencils cost ₹39 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  22. 22.Meera has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  23. 23.6 × ? + 17 = 137
  24. 24.Arjun has 17 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 5 and then take away 17. The answer is 13. What is my number?
  26. 26.Aditya has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹11 more than a pencil. 4 pens and 2 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 5 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  29. 29.Kavya has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 14 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  31. 31.A pen costs ₹15 more than a pencil. 5 pens and 3 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  33. 33.Solve for x: 8(x + 2) = x + 149. What is x?
  34. 34.Solve for x: 3(x + 8) = x + 28. What is x?
  35. 35.2 × ? + 5 = 53
  36. 36.Aarav has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  37. 37.5 × ? + 24 = 69
  38. 38.4 × ? − 1 = 75
  39. 39.Aditya has 24 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  40. 40.2 × ? − 5 = 27

Answer key

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

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