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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 954 · 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.Solve for x: 6(x + 9) = x + 144. What is x?
  2. 2.Aarav has 25 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  3. 3.9 × ? − 5 = 157
  4. 4.Solve for x: 8(x + 9) = 2x + 192. What is x?
  5. 5.Priya has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 15 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 2 and then add 5. The answer is 53. What is my number?
  8. 8.A pen costs ₹5 more than a pencil. 5 pens and 3 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 8 and then add 25. The answer is 177. What is my number?
  10. 10.A pen costs ₹5 more than a pencil. 5 pens and 3 pencils cost ₹169 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 9(x + 8) = 8x + 84. What is x?
  12. 12.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  13. 13.10 × ? − 21 = 89
  14. 14.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  16. 16.Saanvi has 18 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  17. 17.Solve for x: 4(x + 7) = x + 76. What is x?
  18. 18.4 × ? − 1 = 79
  19. 19.I think of a number, multiply it by 2 and then add 15. The answer is 63. What is my number?
  20. 20.I think of a number, multiply it by 4 and then add 6. The answer is 26. What is my number?
  21. 21.I think of a number, multiply it by 7 and then add 32. The answer is 123. What is my number?
  22. 22.A pen costs ₹15 more than a pencil. 4 pens and 8 pencils cost ₹264 in all. What does one pencil cost (in ₹)?
  23. 23.Nisha has 25 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 7 and then take away 20. The answer is 155. What is my number?
  25. 25.Diya has 17 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  26. 26.Farhan has 20 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  28. 28.A pen costs ₹15 more than a pencil. 2 pens and 8 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹14 more than a pencil. 4 pens and 7 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  30. 30.Kabir has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  31. 31.2 × ? + 24 = 30
  32. 32.Zoya has 20 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 5 and then add 36. The answer is 111. What is my number?
  34. 34.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹214 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹7 more than a pencil. 2 pens and 5 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  36. 36.Priya has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 8 and then add 12. The answer is 212. What is my number?
  38. 38.Solve for x: 5(x + 6) = x + 42. What is x?
  39. 39.I think of a number, multiply it by 8 and then take away 27. The answer is 117. What is my number?
  40. 40.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹96 in all. What does one pencil cost (in ₹)?

Answer key

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

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