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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 894 · 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.A pen costs ₹5 more than a pencil. 3 pens and 4 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹8 more than a pencil. 6 pens and 8 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  4. 4.Karan has 22 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  5. 5.12 × ? − 17 = 103
  6. 6.I think of a number, multiply it by 2 and then take away 1. The answer is 33. What is my number?
  7. 7.Solve for x: 3(x + 1) = 2x + 19. What is x?
  8. 8.3 × ? − 27 = 21
  9. 9.8 × ? − 27 = 5
  10. 10.7 × ? + 30 = 100
  11. 11.10 × ? − 2 = 18
  12. 12.I think of a number, multiply it by 5 and then add 40. The answer is 140. What is my number?
  13. 13.The length of a rectangle is 12 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  15. 15.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  16. 16.12 × ? − 9 = 99
  17. 17.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 9 and then add 14. The answer is 167. What is my number?
  19. 19.A pen costs ₹9 more than a pencil. 6 pens and 8 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 4 and then take away 22. The answer is 90. What is my number?
  21. 21.I think of a number, multiply it by 8 and then take away 1. The answer is 103. What is my number?
  22. 22.The length of a rectangle is 5 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  23. 23.Solve for x: 7(x + 8) = 6x + 67. What is x?
  24. 24.12 × ? + 9 = 261
  25. 25.A pen costs ₹3 more than a pencil. 4 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 4(x + 4) = 3x + 34. What is x?
  27. 27.A pen costs ₹11 more than a pencil. 6 pens and 5 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 15 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 9 and then take away 34. The answer is 200. What is my number?
  30. 30.5 × ? + 27 = 77
  31. 31.The length of a rectangle is 3 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 2 and then add 28. The answer is 66. What is my number?
  33. 33.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 3 and then take away 15. The answer is 24. What is my number?
  35. 35.I think of a number, multiply it by 6 and then add 28. The answer is 196. What is my number?
  36. 36.Aditya has 27 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  37. 37.Vivaan has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹15 more than a pencil. 2 pens and 5 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 8 and then add 25. The answer is 161. What is my number?
  40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?

Answer key

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

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