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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 403 · 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.Rohan has 18 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹9 more than a pencil. 3 pens and 8 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  3. 3.2 × ? + 29 = 77
  4. 4.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 9 and then take away 22. The answer is 5. What is my number?
  6. 6.I think of a number, multiply it by 6 and then take away 25. The answer is 137. What is my number?
  7. 7.Saanvi has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹14 more than a pencil. 2 pens and 8 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 4 and then take away 5. The answer is 27. What is my number?
  11. 11.Diya has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  12. 12.8 × ? + 1 = 153
  13. 13.Solve for x: 6(x + 8) = x + 73. What is x?
  14. 14.Manav has 13 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 2 and then add 22. The answer is 78. What is my number?
  16. 16.A pen costs ₹5 more than a pencil. 5 pens and 4 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  17. 17.Ishaan has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  18. 18.Meera has 22 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹161 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹9 more than a pencil. 5 pens and 5 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
  21. 21.10 × ? − 17 = 33
  22. 22.11 × ? + 23 = 45
  23. 23.6 × ? − 3 = 75
  24. 24.Solve for x: 8(x + 8) = 4x + 84. What is x?
  25. 25.A pen costs ₹14 more than a pencil. 3 pens and 8 pencils cost ₹262 in all. What does one pencil cost (in ₹)?
  26. 26.2 × ? + 7 = 17
  27. 27.A pen costs ₹6 more than a pencil. 6 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 2 and then take away 5. The answer is 53. What is my number?
  29. 29.A pen costs ₹11 more than a pencil. 5 pens and 2 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 13 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  31. 31.Solve for x: 7(x + 9) = 4x + 99. What is x?
  32. 32.The length of a rectangle is 12 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 7 and then take away 9. The answer is 89. What is my number?
  34. 34.Ishaan has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  35. 35.Farhan has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 8 and then add 12. The answer is 52. What is my number?
  37. 37.Sneha has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  38. 38.10 × ? − 14 = 126
  39. 39.12 × ? − 24 = 36
  40. 40.A pen costs ₹4 more than a pencil. 5 pens and 8 pencils cost ₹215 in all. What does one pencil cost (in ₹)?

Answer key

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

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