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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 291 · 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 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  2. 2.Aditya has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 8 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  4. 4.Solve for x: 6(x + 8) = 5x + 68. What is x?
  5. 5.A pen costs ₹2 more than a pencil. 6 pens and 8 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 2 and then add 8. The answer is 14. What is my number?
  7. 7.I think of a number, multiply it by 4 and then add 13. The answer is 105. What is my number?
  8. 8.I think of a number, multiply it by 4 and then take away 26. The answer is 78. What is my number?
  9. 9.Manav has 30 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 6(x + 1) = 2x + 18. What is x?
  11. 11.5 × ? + 5 = 25
  12. 12.A pen costs ₹3 more than a pencil. 6 pens and 5 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  13. 13.Priya has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹4 more than a pencil. 5 pens and 7 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  15. 15.2 × ? + 29 = 79
  16. 16.I think of a number, multiply it by 3 and then add 37. The answer is 46. What is my number?
  17. 17.Saanvi has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 6 and then take away 12. The answer is 12. What is my number?
  19. 19.I think of a number, multiply it by 3 and then take away 34. The answer is 5. What is my number?
  20. 20.A pen costs ₹6 more than a pencil. 2 pens and 8 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  22. 22.2 × ? + 16 = 62
  23. 23.Solve for x: 3(x + 2) = x + 40. What is x?
  24. 24.The length of a rectangle is 8 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 9 and then add 9. The answer is 72. What is my number?
  26. 26.Aarav has 28 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  27. 27.3 × ? + 5 = 80
  28. 28.I think of a number, multiply it by 9 and then add 16. The answer is 232. What is my number?
  29. 29.A pen costs ₹7 more than a pencil. 5 pens and 5 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  30. 30.Ananya has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 3 and then take away 16. The answer is 44. What is my number?
  32. 32.Solve for x: 5(x + 1) = 2x + 29. What is x?
  33. 33.A pen costs ₹2 more than a pencil. 2 pens and 4 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  34. 34.Zoya has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  35. 35.Rahul has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹12 more than a pencil. 3 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  37. 37.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 8(x + 3) = 4x + 76. What is x?
  39. 39.A pen costs ₹8 more than a pencil. 3 pens and 6 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  40. 40.4 × ? + 23 = 31

Answer key

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

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