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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 724 · 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.Sneha has 26 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  2. 2.Karan has 27 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹4 more than a pencil. 5 pens and 6 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 6 and then take away 24. The answer is 24. What is my number?
  5. 5.6 × ? − 4 = 14
  6. 6.Rohan has 24 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  7. 7.Aarav has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 13 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  9. 9.12 × ? + 17 = 305
  10. 10.I think of a number, multiply it by 5 and then take away 11. The answer is 9. What is my number?
  11. 11.Solve for x: 6(x + 1) = 2x + 18. What is x?
  12. 12.5 × ? − 17 = 73
  13. 13.Manav has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  14. 14.9 × ? − 18 = 180
  15. 15.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  17. 17.Kabir has 20 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  19. 19.10 × ? + 21 = 61
  20. 20.9 × ? − 18 = 144
  21. 21.I think of a number, multiply it by 7 and then add 15. The answer is 190. What is my number?
  22. 22.I think of a number, multiply it by 3 and then add 5. The answer is 17. What is my number?
  23. 23.Solve for x: 3(x + 6) = 2x + 25. What is x?
  24. 24.A pen costs ₹4 more than a pencil. 3 pens and 6 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  25. 25.Aditya has 29 coins, all ₹5 and ₹2 coins, worth ₹115 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 6(x + 9) = 4x + 56. What is x?
  27. 27.Solve for x: 3(x + 9) = x + 63. What is x?
  28. 28.Solve for x: 5(x + 9) = 3x + 67. What is x?
  29. 29.Zoya has 18 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 7 and then take away 34. The answer is 176. What is my number?
  31. 31.I think of a number, multiply it by 4 and then add 10. The answer is 98. What is my number?
  32. 32.I think of a number, multiply it by 6 and then take away 27. The answer is 9. What is my number?
  33. 33.A pen costs ₹9 more than a pencil. 4 pens and 8 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 9 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  35. 35.12 × ? + 12 = 48
  36. 36.Karan has 24 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  38. 38.Solve for x: 6(x + 5) = x + 55. What is x?
  39. 39.A pen costs ₹3 more than a pencil. 3 pens and 5 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹11 more than a pencil. 4 pens and 5 pencils cost ₹224 in all. What does one pencil cost (in ₹)?

Answer key

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

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