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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 314 · 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 12 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  2. 2.Karan has 28 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 5(x + 3) = 3x + 55. What is x?
  4. 4.Solve for x: 3(x + 1) = 2x + 19. What is x?
  5. 5.Kabir has 25 coins, all ₹5 and ₹2 coins, worth ₹119 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 10 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  7. 7.3 × ? − 3 = 54
  8. 8.9 × ? + 22 = 202
  9. 9.Meera has 15 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹13 more than a pencil. 5 pens and 6 pencils cost ₹263 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 5 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  12. 12.7 × ? − 11 = 136
  13. 13.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 5 and then take away 34. The answer is 21. What is my number?
  15. 15.Solve for x: 3(x + 5) = x + 53. What is x?
  16. 16.Rohan has 22 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 4 and then add 19. The answer is 47. What is my number?
  18. 18.Solve for x: 4(x + 2) = 3x + 17. What is x?
  19. 19.The length of a rectangle is 7 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  20. 20.Manav has 29 coins, all ₹5 and ₹2 coins, worth ₹133 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 7(x + 2) = 6x + 32. What is x?
  22. 22.Solve for x: 8(x + 8) = x + 155. What is x?
  23. 23.4 × ? + 17 = 105
  24. 24.9 × ? − 4 = 167
  25. 25.I think of a number, multiply it by 4 and then add 17. The answer is 37. What is my number?
  26. 26.6 × ? + 20 = 98
  27. 27.5 × ? + 27 = 82
  28. 28.Kavya has 26 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹9 more than a pencil. 6 pens and 7 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  30. 30.Solve for x: 5(x + 2) = 3x + 38. What is x?
  31. 31.I think of a number, multiply it by 8 and then add 34. The answer is 178. What is my number?
  32. 32.I think of a number, multiply it by 4 and then add 40. The answer is 160. What is my number?
  33. 33.I think of a number, multiply it by 5 and then add 28. The answer is 148. What is my number?
  34. 34.I think of a number, multiply it by 8 and then take away 15. The answer is 169. What is my number?
  35. 35.Solve for x: 5(x + 2) = 2x + 61. What is x?
  36. 36.4 × ? − 16 = 44
  37. 37.A pen costs ₹13 more than a pencil. 5 pens and 2 pencils cost ₹205 in all. What does one pencil cost (in ₹)?
  38. 38.2 × ? + 16 = 38
  39. 39.I think of a number, multiply it by 5 and then add 37. The answer is 122. What is my number?
  40. 40.Rahul has 16 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?

Answer key

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

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