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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 614 · 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 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹14 more than a pencil. 4 pens and 5 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 12 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  4. 4.11 × ? + 28 = 61
  5. 5.Solve for x: 5(x + 7) = x + 67. What is x?
  6. 6.Solve for x: 8(x + 9) = 7x + 83. What is x?
  7. 7.Solve for x: 5(x + 6) = 2x + 81. What is x?
  8. 8.I think of a number, multiply it by 5 and then take away 16. The answer is 69. What is my number?
  9. 9.Rohan has 22 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  10. 10.11 × ? − 5 = 105
  11. 11.2 × ? + 15 = 53
  12. 12.11 × ? + 7 = 40
  13. 13.I think of a number, multiply it by 2 and then add 37. The answer is 87. What is my number?
  14. 14.I think of a number, multiply it by 6 and then take away 6. The answer is 126. What is my number?
  15. 15.3 × ? + 26 = 80
  16. 16.Aditya has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 7 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  18. 18.Solve for x: 4(x + 3) = x + 27. What is x?
  19. 19.Rohan has 28 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹3 more than a pencil. 3 pens and 7 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹7 more than a pencil. 5 pens and 7 pencils cost ₹275 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 4 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  23. 23.Arjun has 17 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 5 and then take away 17. The answer is 33. What is my number?
  25. 25.A pen costs ₹10 more than a pencil. 2 pens and 5 pencils cost ₹153 in all. What does one pencil cost (in ₹)?
  26. 26.3 × ? + 12 = 18
  27. 27.I think of a number, multiply it by 9 and then add 20. The answer is 218. What is my number?
  28. 28.A pen costs ₹6 more than a pencil. 4 pens and 3 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  29. 29.Meera has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  30. 30.8 × ? + 9 = 153
  31. 31.7 × ? + 18 = 67
  32. 32.I think of a number, multiply it by 3 and then add 20. The answer is 56. What is my number?
  33. 33.Solve for x: 6(x + 6) = 5x + 51. What is x?
  34. 34.I think of a number, multiply it by 4 and then add 40. The answer is 152. What is my number?
  35. 35.2 × ? + 9 = 33
  36. 36.Ananya has 27 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 9 and then add 20. The answer is 146. What is my number?
  38. 38.A pen costs ₹7 more than a pencil. 5 pens and 7 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  40. 40.A pen costs ₹6 more than a pencil. 4 pens and 7 pencils cost ₹189 in all. What does one pencil cost (in ₹)?

Answer key

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

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