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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 169 · 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 5 and then add 37. The answer is 147. What is my number?
  2. 2.9 × ? − 12 = 114
  3. 3.Tara has 24 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  4. 4.2 × ? − 6 = 10
  5. 5.I think of a number, multiply it by 6 and then add 3. The answer is 51. What is my number?
  6. 6.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  7. 7.7 × ? + 29 = 197
  8. 8.12 × ? + 27 = 303
  9. 9.Solve for x: 9(x + 5) = x + 189. What is x?
  10. 10.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  11. 11.Rahul has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  12. 12.2 × ? + 11 = 47
  13. 13.11 × ? + 12 = 111
  14. 14.Solve for x: 8(x + 6) = 4x + 72. What is x?
  15. 15.The length of a rectangle is 4 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  16. 16.Rahul has 18 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹10 more than a pencil. 5 pens and 4 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹12 more than a pencil. 2 pens and 4 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 7 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  20. 20.Solve for x: 9(x + 2) = 8x + 20. What is x?
  21. 21.Solve for x: 5(x + 2) = 3x + 40. What is x?
  22. 22.The length of a rectangle is 11 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  23. 23.Farhan has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 7 and then add 28. The answer is 238. What is my number?
  25. 25.A pen costs ₹14 more than a pencil. 3 pens and 4 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 4 and then add 3. The answer is 71. What is my number?
  27. 27.The length of a rectangle is 7 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  28. 28.Rahul has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  29. 29.3 × ? + 8 = 65
  30. 30.I think of a number, multiply it by 7 and then add 35. The answer is 175. What is my number?
  31. 31.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  32. 32.Pooja has 18 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 8 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 2 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 5 and then add 11. The answer is 146. What is my number?
  36. 36.Zoya has 24 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  37. 37.Tara has 30 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  38. 38.Diya has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  39. 39.Tara has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  40. 40.Aarav has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?

Answer key

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

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