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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 516 · 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.Saanvi has 22 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  2. 2.9 × ? − 9 = 81
  3. 3.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹15 more than a pencil. 4 pens and 6 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  5. 5.3 × ? − 27 = 6
  6. 6.Solve for x: 5(x + 3) = 4x + 25. What is x?
  7. 7.Solve for x: 3(x + 3) = x + 33. What is x?
  8. 8.The length of a rectangle is 12 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  9. 9.Ishaan has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 8 and then add 28. The answer is 164. What is my number?
  11. 11.I think of a number, multiply it by 4 and then add 10. The answer is 126. What is my number?
  12. 12.Manav has 17 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 3 and then add 15. The answer is 78. What is my number?
  14. 14.I think of a number, multiply it by 9 and then add 36. The answer is 189. What is my number?
  15. 15.I think of a number, multiply it by 8 and then take away 21. The answer is 83. What is my number?
  16. 16.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  17. 17.Kavya has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  18. 18.12 × ? + 19 = 223
  19. 19.Solve for x: 8(x + 1) = 2x + 44. What is x?
  20. 20.A pen costs ₹3 more than a pencil. 3 pens and 8 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 6 and then take away 22. The answer is 128. What is my number?
  22. 22.A pen costs ₹3 more than a pencil. 4 pens and 6 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 9 and then add 10. The answer is 217. What is my number?
  25. 25.A pen costs ₹8 more than a pencil. 2 pens and 5 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  26. 26.7 × ? − 5 = 149
  27. 27.6 × ? + 22 = 70
  28. 28.I think of a number, multiply it by 8 and then add 11. The answer is 43. What is my number?
  29. 29.I think of a number, multiply it by 2 and then add 21. The answer is 57. What is my number?
  30. 30.3 × ? + 8 = 41
  31. 31.Solve for x: 4(x + 8) = 2x + 54. What is x?
  32. 32.Solve for x: 4(x + 4) = 2x + 56. What is x?
  33. 33.11 × ? − 2 = 53
  34. 34.Meera has 19 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 15 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  36. 36.A pen costs ₹14 more than a pencil. 5 pens and 8 pencils cost ₹304 in all. What does one pencil cost (in ₹)?
  37. 37.2 × ? − 18 = 26
  38. 38.Priya has 22 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 7 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 2 and then add 31. The answer is 69. What is my number?

Answer key

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

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