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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 245 · 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.Sneha has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹11 more than a pencil. 2 pens and 7 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  3. 3.10 × ? + 14 = 174
  4. 4.Solve for x: 8(x + 3) = 7x + 36. What is x?
  5. 5.A pen costs ₹2 more than a pencil. 2 pens and 3 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 6 and then add 28. The answer is 148. What is my number?
  7. 7.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  9. 9.Kabir has 23 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  10. 10.8 × ? − 6 = 42
  11. 11.9 × ? + 23 = 59
  12. 12.A pen costs ₹6 more than a pencil. 6 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  13. 13.Manav has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 6 and then take away 7. The answer is 113. What is my number?
  15. 15.7 × ? − 1 = 153
  16. 16.The length of a rectangle is 6 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 3 and then add 10. The answer is 46. What is my number?
  18. 18.Arjun has 22 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  19. 19.10 × ? + 13 = 183
  20. 20.4 × ? − 12 = 68
  21. 21.The length of a rectangle is 2 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 7 and then take away 13. The answer is 113. What is my number?
  23. 23.Pooja has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 5 and then take away 4. The answer is 41. What is my number?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  26. 26.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 7 and then add 10. The answer is 150. What is my number?
  29. 29.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 7 and then add 1. The answer is 162. What is my number?
  32. 32.Solve for x: 8(x + 3) = 2x + 42. What is x?
  33. 33.Dev has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 3 and then add 9. The answer is 54. What is my number?
  35. 35.I think of a number, multiply it by 5 and then add 4. The answer is 109. What is my number?
  36. 36.3 × ? + 28 = 91
  37. 37.Solve for x: 3(x + 3) = 2x + 22. What is x?
  38. 38.9 × ? + 19 = 199
  39. 39.A pen costs ₹7 more than a pencil. 3 pens and 7 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 8 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?

Answer key

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

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