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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 563 · 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 ₹3 more than a pencil. 2 pens and 3 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 4 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 3 and then take away 5. The answer is 4. What is my number?
  4. 4.Farhan has 20 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹7 more than a pencil. 4 pens and 5 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 6(x + 8) = 2x + 124. What is x?
  7. 7.Solve for x: 4(x + 3) = 2x + 36. What is x?
  8. 8.I think of a number, multiply it by 8 and then add 26. The answer is 154. What is my number?
  9. 9.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  10. 10.Manav has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹14 more than a pencil. 3 pens and 8 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹13 more than a pencil. 4 pens and 7 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹10 more than a pencil. 6 pens and 7 pencils cost ₹320 in all. What does one pencil cost (in ₹)?
  15. 15.Nisha has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  16. 16.5 × ? + 18 = 118
  17. 17.I think of a number, multiply it by 7 and then add 20. The answer is 55. What is my number?
  18. 18.Solve for x: 4(x + 2) = x + 11. What is x?
  19. 19.7 × ? + 16 = 65
  20. 20.8 × ? + 16 = 64
  21. 21.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  22. 22.Solve for x: 6(x + 5) = 3x + 39. What is x?
  23. 23.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 11 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  26. 26.11 × ? − 29 = 92
  27. 27.I think of a number, multiply it by 4 and then take away 12. The answer is 48. What is my number?
  28. 28.12 × ? − 12 = 120
  29. 29.Sneha has 21 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹15 more than a pencil. 2 pens and 3 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  31. 31.12 × ? − 2 = 22
  32. 32.I think of a number, multiply it by 6 and then add 4. The answer is 136. What is my number?
  33. 33.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  34. 34.Ishaan has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 6 and then add 1. The answer is 97. What is my number?
  36. 36.12 × ? − 2 = 178
  37. 37.I think of a number, multiply it by 7 and then take away 7. The answer is 14. What is my number?
  38. 38.The length of a rectangle is 10 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  39. 39.Solve for x: 3(x + 2) = x + 42. What is x?
  40. 40.3 × ? + 5 = 41

Answer key

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

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