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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 827 · 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.Kabir has 29 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  2. 2.3 × ? + 22 = 34
  3. 3.I think of a number, multiply it by 6 and then add 19. The answer is 103. What is my number?
  4. 4.5 × ? + 30 = 135
  5. 5.A pen costs ₹9 more than a pencil. 3 pens and 7 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 7(x + 3) = x + 105. What is x?
  7. 7.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 10 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 6 and then take away 1. The answer is 125. What is my number?
  10. 10.Nisha has 18 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  12. 12.Tara has 27 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  13. 13.6 × ? − 17 = 55
  14. 14.I think of a number, multiply it by 6 and then take away 18. The answer is 144. What is my number?
  15. 15.Kabir has 28 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  16. 16.Aarav has 18 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  17. 17.Solve for x: 7(x + 2) = 4x + 17. What is x?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  19. 19.Isha has 27 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  20. 20.Pooja has 25 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 6 and then add 2. The answer is 152. What is my number?
  23. 23.5 × ? + 17 = 47
  24. 24.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  25. 25.Aarav has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  27. 27.6 × ? + 22 = 106
  28. 28.A pen costs ₹15 more than a pencil. 3 pens and 5 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  29. 29.Diya has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 14 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  31. 31.4 × ? + 15 = 83
  32. 32.The length of a rectangle is 15 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  33. 33.A pen costs ₹10 more than a pencil. 6 pens and 2 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 12 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  35. 35.2 × ? + 22 = 52
  36. 36.I think of a number, multiply it by 4 and then add 11. The answer is 23. What is my number?
  37. 37.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  38. 38.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 4(x + 2) = x + 38. What is x?
  40. 40.2 × ? − 3 = 9

Answer key

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

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