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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 525 · 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.I think of a number, multiply it by 7 and then add 12. The answer is 110. What is my number?
  2. 2.Arjun has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹4 more than a pencil. 5 pens and 4 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 3(x + 2) = x + 38. What is x?
  5. 5.A pen costs ₹9 more than a pencil. 5 pens and 8 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 4(x + 7) = 3x + 39. What is x?
  7. 7.I think of a number, multiply it by 2 and then add 2. The answer is 34. What is my number?
  8. 8.Sneha has 25 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  9. 9.Aarav has 30 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 8(x + 2) = 5x + 58. What is x?
  11. 11.I think of a number, multiply it by 9 and then take away 28. The answer is 53. What is my number?
  12. 12.I think of a number, multiply it by 2 and then take away 1. The answer is 27. What is my number?
  13. 13.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  14. 14.Solve for x: 3(x + 4) = 2x + 13. What is x?
  15. 15.2 × ? + 14 = 22
  16. 16.I think of a number, multiply it by 2 and then add 21. The answer is 37. What is my number?
  17. 17.A pen costs ₹5 more than a pencil. 5 pens and 8 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 3(x + 1) = 2x + 13. What is x?
  19. 19.A pen costs ₹2 more than a pencil. 4 pens and 3 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹8 more than a pencil. 6 pens and 8 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 9(x + 3) = 6x + 75. What is x?
  22. 22.Meera has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  24. 24.8 × ? − 11 = 165
  25. 25.Nisha has 18 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  26. 26.12 × ? − 16 = 32
  27. 27.Rohan has 28 coins, all ₹5 and ₹2 coins, worth ₹137 in all. How many ₹5 coins are there?
  28. 28.7 × ? + 14 = 182
  29. 29.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 6 and then take away 10. The answer is 152. What is my number?
  31. 31.Solve for x: 4(x + 7) = x + 34. What is x?
  32. 32.A pen costs ₹2 more than a pencil. 2 pens and 5 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  33. 33.8 × ? − 12 = 124
  34. 34.The length of a rectangle is 15 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  35. 35.Arjun has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  36. 36.Dev has 17 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  37. 37.Sneha has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 5 and then take away 5. The answer is 85. What is my number?
  39. 39.Farhan has 25 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹136 in all. What does one pencil cost (in ₹)?

Answer key

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

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