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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 156 · 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.Diya has 14 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 6 and then take away 6. The answer is 18. What is my number?
  3. 3.A pen costs ₹13 more than a pencil. 2 pens and 3 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  4. 4.8 × ? − 5 = 27
  5. 5.I think of a number, multiply it by 5 and then add 8. The answer is 153. What is my number?
  6. 6.Solve for x: 4(x + 7) = x + 73. What is x?
  7. 7.9 × ? + 4 = 130
  8. 8.9 × ? − 27 = 27
  9. 9.A pen costs ₹9 more than a pencil. 4 pens and 7 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  10. 10.3 × ? + 13 = 73
  11. 11.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 5(x + 5) = 3x + 31. What is x?
  13. 13.Ananya has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 6 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  15. 15.A pen costs ₹4 more than a pencil. 6 pens and 5 pencils cost ₹222 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 9(x + 5) = x + 93. What is x?
  17. 17.I think of a number, multiply it by 4 and then add 9. The answer is 33. What is my number?
  18. 18.Solve for x: 7(x + 4) = 2x + 48. What is x?
  19. 19.Solve for x: 5(x + 7) = x + 59. What is x?
  20. 20.Kavya has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 6 and then add 1. The answer is 67. What is my number?
  22. 22.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 3(x + 2) = x + 10. What is x?
  24. 24.I think of a number, multiply it by 7 and then take away 10. The answer is 60. What is my number?
  25. 25.Solve for x: 9(x + 3) = 5x + 75. What is x?
  26. 26.A pen costs ₹7 more than a pencil. 6 pens and 8 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 6 and then take away 28. The answer is 2. What is my number?
  28. 28.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
  29. 29.5 × ? + 30 = 145
  30. 30.A pen costs ₹14 more than a pencil. 5 pens and 6 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 8(x + 2) = 5x + 58. What is x?
  32. 32.I think of a number, multiply it by 7 and then add 23. The answer is 100. What is my number?
  33. 33.Solve for x: 8(x + 1) = x + 71. What is x?
  34. 34.Kavya has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  35. 35.12 × ? − 25 = 179
  36. 36.I think of a number, multiply it by 4 and then take away 40. The answer is 20. What is my number?
  37. 37.I think of a number, multiply it by 5 and then take away 31. The answer is 109. What is my number?
  38. 38.I think of a number, multiply it by 2 and then add 10. The answer is 70. What is my number?
  39. 39.A pen costs ₹6 more than a pencil. 6 pens and 2 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 4 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?

Answer key

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

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