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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 238 · 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.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 7 and then add 39. The answer is 88. What is my number?
  3. 3.5 × ? − 28 = 2
  4. 4.Solve for x: 8(x + 2) = 4x + 88. What is x?
  5. 5.The length of a rectangle is 9 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 7 and then add 5. The answer is 138. What is my number?
  7. 7.A pen costs ₹10 more than a pencil. 6 pens and 2 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 4 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 8 and then take away 16. The answer is 40. What is my number?
  11. 11.3 × ? − 12 = 21
  12. 12.Rahul has 30 coins, all ₹5 and ₹2 coins, worth ₹123 in all. How many ₹5 coins are there?
  13. 13.5 × ? − 1 = 79
  14. 14.4 × ? − 1 = 59
  15. 15.A pen costs ₹6 more than a pencil. 5 pens and 8 pencils cost ₹264 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 4(x + 9) = x + 60. What is x?
  17. 17.Solve for x: 8(x + 7) = x + 63. What is x?
  18. 18.12 × ? − 4 = 152
  19. 19.A pen costs ₹4 more than a pencil. 6 pens and 5 pencils cost ₹211 in all. What does one pencil cost (in ₹)?
  20. 20.6 × ? + 4 = 154
  21. 21.A pen costs ₹15 more than a pencil. 2 pens and 4 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 8(x + 5) = 2x + 142. What is x?
  23. 23.A pen costs ₹6 more than a pencil. 6 pens and 8 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  24. 24.Zoya has 27 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  25. 25.9 × ? + 12 = 228
  26. 26.11 × ? − 27 = 28
  27. 27.Dev has 21 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  29. 29.Rohan has 22 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  30. 30.12 × ? − 11 = 37
  31. 31.I think of a number, multiply it by 2 and then add 5. The answer is 29. What is my number?
  32. 32.I think of a number, multiply it by 9 and then add 35. The answer is 143. What is my number?
  33. 33.I think of a number, multiply it by 3 and then add 7. The answer is 79. What is my number?
  34. 34.I think of a number, multiply it by 3 and then add 32. The answer is 116. What is my number?
  35. 35.Solve for x: 5(x + 5) = 2x + 70. What is x?
  36. 36.Karan has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  37. 37.Solve for x: 3(x + 9) = 2x + 44. What is x?
  38. 38.Solve for x: 9(x + 2) = 3x + 132. What is x?
  39. 39.The length of a rectangle is 9 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 8 and then take away 23. The answer is 217. What is my number?

Answer key

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

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