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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 350 · 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 ₹11 more than a pencil. 3 pens and 4 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 7 and then take away 36. The answer is 13. What is my number?
  3. 3.Manav has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  4. 4.Zoya has 27 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹15 more than a pencil. 5 pens and 7 pencils cost ₹291 in all. What does one pencil cost (in ₹)?
  6. 6.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  7. 7.Saanvi has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 6 and then add 28. The answer is 106. What is my number?
  9. 9.I think of a number, multiply it by 7 and then add 5. The answer is 194. What is my number?
  10. 10.6 × ? − 7 = 95
  11. 11.The length of a rectangle is 9 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  12. 12.Pooja has 25 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  13. 13.Vivaan has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 4(x + 1) = 3x + 9. What is x?
  15. 15.A pen costs ₹7 more than a pencil. 6 pens and 7 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  16. 16.Ananya has 30 coins, all ₹5 and ₹2 coins, worth ₹144 in all. How many ₹5 coins are there?
  17. 17.4 × ? + 16 = 24
  18. 18.Solve for x: 5(x + 9) = 2x + 54. What is x?
  19. 19.8 × ? + 11 = 83
  20. 20.A pen costs ₹11 more than a pencil. 2 pens and 3 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  21. 21.3 × ? + 19 = 49
  22. 22.The length of a rectangle is 9 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  23. 23.Saanvi has 19 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  24. 24.11 × ? − 14 = 184
  25. 25.Solve for x: 9(x + 8) = 4x + 142. What is x?
  26. 26.I think of a number, multiply it by 5 and then take away 35. The answer is 35. What is my number?
  27. 27.I think of a number, multiply it by 2 and then add 8. The answer is 54. What is my number?
  28. 28.Pooja has 30 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  29. 29.Diya has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 7 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  31. 31.Solve for x: 6(x + 5) = 4x + 48. What is x?
  32. 32.I think of a number, multiply it by 3 and then add 2. The answer is 50. What is my number?
  33. 33.Solve for x: 6(x + 4) = x + 104. What is x?
  34. 34.Solve for x: 7(x + 6) = 2x + 92. What is x?
  35. 35.I think of a number, multiply it by 9 and then add 23. The answer is 104. What is my number?
  36. 36.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 8(x + 6) = 7x + 68. What is x?
  38. 38.A pen costs ₹11 more than a pencil. 2 pens and 7 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹14 more than a pencil. 5 pens and 3 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹7 more than a pencil. 4 pens and 2 pencils cost ₹70 in all. What does one pencil cost (in ₹)?

Answer key

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

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