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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 623 · 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.The length of a rectangle is 14 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  2. 2.8 × ? + 7 = 63
  3. 3.I think of a number, multiply it by 6 and then add 20. The answer is 116. What is my number?
  4. 4.Dev has 17 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  5. 5.Pooja has 24 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 3(x + 4) = x + 16. What is x?
  7. 7.3 × ? + 6 = 66
  8. 8.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹181 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 8(x + 9) = 6x + 92. What is x?
  11. 11.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 7 and then add 29. The answer is 78. What is my number?
  13. 13.Aarav has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 9 and then add 10. The answer is 154. What is my number?
  17. 17.Isha has 23 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  18. 18.Zoya has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹7 more than a pencil. 4 pens and 7 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 3 and then add 15. The answer is 21. What is my number?
  22. 22.Solve for x: 7(x + 6) = 5x + 62. What is x?
  23. 23.A pen costs ₹15 more than a pencil. 4 pens and 4 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹3 more than a pencil. 4 pens and 5 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  25. 25.4 × ? + 26 = 50
  26. 26.I think of a number, multiply it by 2 and then add 11. The answer is 43. What is my number?
  27. 27.A pen costs ₹8 more than a pencil. 4 pens and 5 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 6(x + 9) = 2x + 66. What is x?
  29. 29.A pen costs ₹11 more than a pencil. 4 pens and 5 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹7 more than a pencil. 2 pens and 2 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 6(x + 9) = x + 84. What is x?
  32. 32.The length of a rectangle is 13 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 12 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  34. 34.Farhan has 25 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  36. 36.Solve for x: 8(x + 1) = 2x + 26. What is x?
  37. 37.The length of a rectangle is 14 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  38. 38.7 × ? + 26 = 117
  39. 39.Kabir has 17 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹14 more than a pencil. 2 pens and 8 pencils cost ₹138 in all. What does one pencil cost (in ₹)?

Answer key

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

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