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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 471 · 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 92 m. What is its breadth (in m)?
  2. 2.Kabir has 30 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹12 more than a pencil. 5 pens and 5 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  4. 4.9 × ? + 21 = 75
  5. 5.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  6. 6.10 × ? − 2 = 28
  7. 7.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 2 and then take away 3. The answer is 29. What is my number?
  9. 9.A pen costs ₹9 more than a pencil. 5 pens and 6 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 8 and then take away 38. The answer is 18. What is my number?
  11. 11.Tara has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  12. 12.Rohan has 16 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  13. 13.2 × ? + 22 = 52
  14. 14.Solve for x: 7(x + 2) = 2x + 114. What is x?
  15. 15.I think of a number, multiply it by 5 and then add 20. The answer is 65. What is my number?
  16. 16.9 × ? + 10 = 181
  17. 17.Solve for x: 4(x + 9) = x + 57. What is x?
  18. 18.I think of a number, multiply it by 9 and then take away 19. The answer is 71. What is my number?
  19. 19.Karan has 19 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 4 and then add 35. The answer is 143. What is my number?
  21. 21.Solve for x: 8(x + 3) = x + 115. What is x?
  22. 22.I think of a number, multiply it by 8 and then take away 31. The answer is 113. What is my number?
  23. 23.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 2 and then add 17. The answer is 31. What is my number?
  25. 25.11 × ? − 15 = 205
  26. 26.5 × ? + 20 = 55
  27. 27.4 × ? + 29 = 93
  28. 28.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  29. 29.Ishaan has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 4 and then take away 24. The answer is 96. What is my number?
  31. 31.A pen costs ₹3 more than a pencil. 6 pens and 4 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 7(x + 8) = 4x + 62. What is x?
  33. 33.4 × ? + 11 = 19
  34. 34.A pen costs ₹8 more than a pencil. 4 pens and 8 pencils cost ₹272 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹9 more than a pencil. 3 pens and 6 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 8 and then add 23. The answer is 79. What is my number?
  37. 37.The length of a rectangle is 2 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  38. 38.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  40. 40.9 × ? − 23 = 157

Answer key

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

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