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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 514 · 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.I think of a number, multiply it by 3 and then add 15. The answer is 96. What is my number?
  2. 2.Solve for x: 8(x + 5) = 3x + 50. What is x?
  3. 3.3 × ? + 27 = 87
  4. 4.4 × ? + 7 = 75
  5. 5.I think of a number, multiply it by 3 and then add 13. The answer is 64. What is my number?
  6. 6.Solve for x: 9(x + 3) = 5x + 99. What is x?
  7. 7.Kavya has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 4(x + 2) = x + 23. What is x?
  9. 9.Zoya has 14 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 7 and then take away 28. The answer is 70. What is my number?
  11. 11.Solve for x: 9(x + 8) = 7x + 110. What is x?
  12. 12.Rahul has 21 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 3 and then take away 8. The answer is 34. What is my number?
  14. 14.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 4 and then take away 40. The answer is 32. What is my number?
  16. 16.A pen costs ₹11 more than a pencil. 2 pens and 7 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  17. 17.Farhan has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹2 more than a pencil. 4 pens and 6 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  19. 19.10 × ? + 15 = 145
  20. 20.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹31 in all. What does one pencil cost (in ₹)?
  21. 21.Nisha has 28 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  22. 22.11 × ? + 1 = 78
  23. 23.Solve for x: 8(x + 1) = 7x + 20. What is x?
  24. 24.4 × ? − 1 = 99
  25. 25.Saanvi has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 7(x + 3) = x + 39. What is x?
  27. 27.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 3 and then add 20. The answer is 41. What is my number?
  29. 29.A pen costs ₹10 more than a pencil. 3 pens and 5 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  30. 30.6 × ? − 26 = 40
  31. 31.I think of a number, multiply it by 2 and then take away 29. The answer is 29. What is my number?
  32. 32.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 2 and then add 17. The answer is 69. What is my number?
  34. 34.The length of a rectangle is 9 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  35. 35.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 5 and then add 18. The answer is 58. What is my number?
  37. 37.Manav has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  38. 38.Priya has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  39. 39.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹202 in all. What does one pencil cost (in ₹)?

Answer key

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

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