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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 50 · 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 ₹6 more than a pencil. 6 pens and 2 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 8 and then take away 6. The answer is 234. What is my number?
  3. 3.I think of a number, multiply it by 2 and then add 13. The answer is 71. What is my number?
  4. 4.Sneha has 20 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  5. 5.The length of a rectangle is 14 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  6. 6.Kabir has 15 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 5 and then add 35. The answer is 120. What is my number?
  8. 8.Solve for x: 4(x + 7) = 3x + 47. What is x?
  9. 9.I think of a number, multiply it by 3 and then take away 40. The answer is 11. What is my number?
  10. 10.A pen costs ₹7 more than a pencil. 6 pens and 2 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 7 and then take away 10. The answer is 95. What is my number?
  12. 12.Solve for x: 6(x + 5) = x + 110. What is x?
  13. 13.A pen costs ₹2 more than a pencil. 4 pens and 3 pencils cost ₹113 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹7 more than a pencil. 6 pens and 2 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  15. 15.4 × ? − 10 = 62
  16. 16.Solve for x: 4(x + 1) = 3x + 6. What is x?
  17. 17.Manav has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹11 more than a pencil. 4 pens and 3 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  19. 19.Meera has 21 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  20. 20.12 × ? − 27 = 57
  21. 21.Diya has 21 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 9 and then take away 36. The answer is 45. What is my number?
  23. 23.I think of a number, multiply it by 6 and then take away 23. The answer is 7. What is my number?
  24. 24.The length of a rectangle is 12 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 14 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 2 and then add 36. The answer is 96. What is my number?
  27. 27.I think of a number, multiply it by 8 and then take away 6. The answer is 42. What is my number?
  28. 28.Solve for x: 7(x + 3) = 3x + 97. What is x?
  29. 29.I think of a number, multiply it by 8 and then add 3. The answer is 203. What is my number?
  30. 30.Arjun has 30 coins, all ₹5 and ₹2 coins, worth ₹147 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 3(x + 8) = x + 54. What is x?
  32. 32.I think of a number, multiply it by 7 and then take away 23. The answer is 166. What is my number?
  33. 33.I think of a number, multiply it by 2 and then add 10. The answer is 14. What is my number?
  34. 34.I think of a number, multiply it by 8 and then add 22. The answer is 134. What is my number?
  35. 35.A pen costs ₹15 more than a pencil. 2 pens and 7 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 5(x + 4) = 3x + 44. What is x?
  37. 37.Pooja has 23 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 8(x + 5) = 3x + 90. What is x?
  39. 39.3 × ? + 19 = 85
  40. 40.I think of a number, multiply it by 3 and then add 35. The answer is 62. What is my number?

Answer key

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

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