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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 838 · 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.Ishaan has 17 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 5 and then add 24. The answer is 94. What is my number?
  3. 3.4 × ? − 5 = 47
  4. 4.9 × ? − 22 = 194
  5. 5.Pooja has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹4 more than a pencil. 4 pens and 8 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹7 more than a pencil. 5 pens and 2 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  8. 8.6 × ? − 11 = 61
  9. 9.A pen costs ₹7 more than a pencil. 3 pens and 7 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
  10. 10.Nisha has 22 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹9 more than a pencil. 3 pens and 4 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 8 and then add 21. The answer is 149. What is my number?
  13. 13.Solve for x: 3(x + 1) = 2x + 10. What is x?
  14. 14.Solve for x: 9(x + 5) = 4x + 140. What is x?
  15. 15.I think of a number, multiply it by 4 and then take away 13. The answer is 3. What is my number?
  16. 16.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 15 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  18. 18.Solve for x: 7(x + 1) = 5x + 31. What is x?
  19. 19.I think of a number, multiply it by 4 and then take away 20. The answer is 16. What is my number?
  20. 20.A pen costs ₹3 more than a pencil. 4 pens and 5 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 5 and then add 35. The answer is 55. What is my number?
  22. 22.A pen costs ₹5 more than a pencil. 5 pens and 8 pencils cost ₹259 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 9 and then add 5. The answer is 95. What is my number?
  24. 24.The length of a rectangle is 11 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 3 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  26. 26.Solve for x: 5(x + 8) = 4x + 46. What is x?
  27. 27.A pen costs ₹15 more than a pencil. 5 pens and 2 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 8 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  29. 29.Aarav has 29 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 5 and then take away 23. The answer is 77. What is my number?
  31. 31.I think of a number, multiply it by 6 and then take away 5. The answer is 13. What is my number?
  32. 32.Aarav has 22 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 4(x + 1) = 3x + 21. What is x?
  35. 35.Solve for x: 5(x + 6) = 3x + 70. What is x?
  36. 36.5 × ? − 24 = 1
  37. 37.A pen costs ₹6 more than a pencil. 4 pens and 6 pencils cost ₹214 in all. What does one pencil cost (in ₹)?
  38. 38.4 × ? − 2 = 26
  39. 39.Solve for x: 5(x + 7) = 3x + 41. What is x?
  40. 40.A pen costs ₹3 more than a pencil. 5 pens and 5 pencils cost ₹175 in all. What does one pencil cost (in ₹)?

Answer key

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

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