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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 484 · 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 ₹4 more than a pencil. 2 pens and 8 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  2. 2.Priya has 20 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹8 more than a pencil. 4 pens and 7 pencils cost ₹197 in all. What does one pencil cost (in ₹)?
  4. 4.9 × ? + 27 = 180
  5. 5.Solve for x: 5(x + 4) = 2x + 80. What is x?
  6. 6.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  7. 7.8 × ? + 24 = 88
  8. 8.A pen costs ₹15 more than a pencil. 6 pens and 7 pencils cost ₹259 in all. What does one pencil cost (in ₹)?
  9. 9.4 × ? − 9 = 87
  10. 10.I think of a number, multiply it by 3 and then take away 26. The answer is 1. What is my number?
  11. 11.I think of a number, multiply it by 7 and then take away 29. The answer is 146. What is my number?
  12. 12.Solve for x: 8(x + 1) = x + 92. What is x?
  13. 13.6 × ? + 22 = 40
  14. 14.Sneha has 20 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  15. 15.12 × ? − 19 = 113
  16. 16.Solve for x: 9(x + 4) = 6x + 42. What is x?
  17. 17.Solve for x: 4(x + 7) = x + 37. What is x?
  18. 18.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  19. 19.12 × ? + 8 = 56
  20. 20.The length of a rectangle is 14 m more than its breadth. Its perimeter is 148 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 4 and then add 39. The answer is 143. What is my number?
  22. 22.The length of a rectangle is 13 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  23. 23.Rohan has 29 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  24. 24.Ishaan has 28 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 4 and then take away 11. The answer is 25. What is my number?
  26. 26.Kavya has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  27. 27.Farhan has 19 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 9 and then add 23. The answer is 59. What is my number?
  29. 29.I think of a number, multiply it by 6 and then take away 8. The answer is 172. What is my number?
  30. 30.A pen costs ₹11 more than a pencil. 3 pens and 8 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 9 and then take away 36. The answer is 18. What is my number?
  32. 32.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 4 and then add 17. The answer is 73. What is my number?
  34. 34.The length of a rectangle is 2 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  35. 35.Rahul has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 10 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 8 and then add 2. The answer is 210. What is my number?
  38. 38.Nisha has 24 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 9(x + 8) = 8x + 78. What is x?
  40. 40.Solve for x: 9(x + 7) = 4x + 148. What is x?

Answer key

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

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