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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 1 · 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 10 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 5 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 4 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  4. 4.A pen costs ₹14 more than a pencil. 4 pens and 8 pencils cost ₹212 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 6(x + 3) = 4x + 50. What is x?
  6. 6.I think of a number, multiply it by 7 and then take away 31. The answer is 53. What is my number?
  7. 7.I think of a number, multiply it by 7 and then add 21. The answer is 35. What is my number?
  8. 8.8 × ? − 11 = 5
  9. 9.I think of a number, multiply it by 5 and then add 11. The answer is 26. What is my number?
  10. 10.Solve for x: 5(x + 5) = x + 101. What is x?
  11. 11.I think of a number, multiply it by 3 and then take away 34. The answer is 35. What is my number?
  12. 12.Solve for x: 5(x + 6) = x + 90. What is x?
  13. 13.3 × ? + 4 = 31
  14. 14.Tara has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 6 and then take away 21. The answer is 105. What is my number?
  16. 16.12 × ? + 3 = 27
  17. 17.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  18. 18.8 × ? + 6 = 158
  19. 19.A pen costs ₹9 more than a pencil. 5 pens and 8 pencils cost ₹305 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 10 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 7 and then take away 2. The answer is 152. What is my number?
  22. 22.Solve for x: 7(x + 6) = x + 162. What is x?
  23. 23.Kabir has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  24. 24.5 × ? − 14 = 41
  25. 25.A pen costs ₹3 more than a pencil. 3 pens and 6 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹8 more than a pencil. 6 pens and 7 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹10 more than a pencil. 4 pens and 2 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 8(x + 8) = x + 113. What is x?
  29. 29.A pen costs ₹13 more than a pencil. 3 pens and 6 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 13 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  31. 31.10 × ? − 4 = 106
  32. 32.A pen costs ₹8 more than a pencil. 2 pens and 6 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 8 and then add 9. The answer is 41. What is my number?
  34. 34.Zoya has 23 coins, all ₹5 and ₹2 coins, worth ₹112 in all. How many ₹5 coins are there?
  35. 35.8 × ? + 6 = 118
  36. 36.I think of a number, multiply it by 6 and then take away 28. The answer is 8. What is my number?
  37. 37.I think of a number, multiply it by 2 and then add 33. The answer is 45. What is my number?
  38. 38.The length of a rectangle is 12 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  39. 39.Solve for x: 4(x + 9) = 3x + 46. What is x?
  40. 40.A pen costs ₹12 more than a pencil. 5 pens and 4 pencils cost ₹87 in all. What does one pencil cost (in ₹)?

Answer key

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

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