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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 122 · 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 ₹8 more than a pencil. 4 pens and 5 pencils cost ₹185 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 9 and then add 32. The answer is 266. What is my number?
  3. 3.Solve for x: 3(x + 8) = 2x + 41. What is x?
  4. 4.Aarav has 24 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  5. 5.Vivaan has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 8 and then add 17. The answer is 241. What is my number?
  7. 7.Kavya has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 8 and then take away 26. The answer is 158. What is my number?
  9. 9.Nisha has 22 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  11. 11.Kabir has 18 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹15 more than a pencil. 5 pens and 8 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 6(x + 9) = x + 84. What is x?
  14. 14.Solve for x: 7(x + 2) = 5x + 20. What is x?
  15. 15.I think of a number, multiply it by 2 and then add 13. The answer is 51. What is my number?
  16. 16.Sneha has 17 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  18. 18.Nisha has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 5 and then add 34. The answer is 74. What is my number?
  20. 20.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 6(x + 2) = 5x + 18. What is x?
  22. 22.7 × ? + 12 = 159
  23. 23.Solve for x: 3(x + 1) = 2x + 11. What is x?
  24. 24.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 5 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  26. 26.A pen costs ₹15 more than a pencil. 2 pens and 3 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 6(x + 1) = x + 101. What is x?
  28. 28.I think of a number, multiply it by 2 and then add 10. The answer is 48. What is my number?
  29. 29.I think of a number, multiply it by 8 and then add 10. The answer is 66. What is my number?
  30. 30.A pen costs ₹8 more than a pencil. 2 pens and 7 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 9 and then take away 22. The answer is 95. What is my number?
  32. 32.I think of a number, multiply it by 3 and then add 10. The answer is 97. What is my number?
  33. 33.Saanvi has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹11 more than a pencil. 6 pens and 7 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 3(x + 3) = 2x + 10. What is x?
  36. 36.I think of a number, multiply it by 9 and then add 39. The answer is 120. What is my number?
  37. 37.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  38. 38.The length of a rectangle is 14 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  39. 39.Solve for x: 6(x + 9) = 2x + 58. What is x?
  40. 40.Solve for x: 4(x + 4) = 3x + 32. What is x?

Answer key

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

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