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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 284 · 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 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  2. 2.7 × ? + 6 = 111
  3. 3.Kavya has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 8 and then take away 25. The answer is 119. What is my number?
  5. 5.A pen costs ₹6 more than a pencil. 6 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  6. 6.5 × ? + 21 = 56
  7. 7.8 × ? − 4 = 116
  8. 8.I think of a number, multiply it by 8 and then add 21. The answer is 85. What is my number?
  9. 9.I think of a number, multiply it by 6 and then add 6. The answer is 132. What is my number?
  10. 10.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  11. 11.Solve for x: 5(x + 4) = x + 28. What is x?
  12. 12.Solve for x: 4(x + 5) = 3x + 23. What is x?
  13. 13.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  14. 14.4 × ? + 15 = 47
  15. 15.3 × ? + 24 = 99
  16. 16.I think of a number, multiply it by 7 and then add 3. The answer is 199. What is my number?
  17. 17.Manav has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 14 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  19. 19.Solve for x: 4(x + 8) = 3x + 48. What is x?
  20. 20.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  21. 21.Solve for x: 5(x + 5) = 3x + 55. What is x?
  22. 22.Solve for x: 6(x + 9) = 2x + 130. What is x?
  23. 23.Meera has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 9 and then take away 37. The answer is 8. What is my number?
  25. 25.6 × ? − 11 = 1
  26. 26.A pen costs ₹13 more than a pencil. 6 pens and 5 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 7 and then take away 6. The answer is 155. What is my number?
  28. 28.I think of a number, multiply it by 4 and then add 29. The answer is 101. What is my number?
  29. 29.Tara has 17 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 13 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  31. 31.Solve for x: 6(x + 2) = 3x + 27. What is x?
  32. 32.A pen costs ₹8 more than a pencil. 6 pens and 5 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 4 and then take away 26. The answer is 70. What is my number?
  34. 34.Pooja has 25 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 3 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 13 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  37. 37.Solve for x: 6(x + 4) = 3x + 78. What is x?
  38. 38.Solve for x: 9(x + 8) = 7x + 104. What is x?
  39. 39.A pen costs ₹7 more than a pencil. 6 pens and 8 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  40. 40.2 × ? − 6 = 44

Answer key

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

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