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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 602 · 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 ₹7 more than a pencil. 3 pens and 6 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  2. 2.Kavya has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  3. 3.9 × ? + 6 = 60
  4. 4.I think of a number, multiply it by 4 and then add 11. The answer is 91. What is my number?
  5. 5.I think of a number, multiply it by 7 and then take away 2. The answer is 208. What is my number?
  6. 6.Solve for x: 7(x + 1) = 3x + 23. What is x?
  7. 7.Ananya has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 5(x + 4) = 4x + 25. What is x?
  9. 9.Solve for x: 3(x + 1) = x + 39. What is x?
  10. 10.I think of a number, multiply it by 2 and then take away 26. The answer is 32. What is my number?
  11. 11.A pen costs ₹12 more than a pencil. 6 pens and 7 pencils cost ₹293 in all. What does one pencil cost (in ₹)?
  12. 12.9 × ? + 5 = 77
  13. 13.Solve for x: 5(x + 6) = 2x + 69. What is x?
  14. 14.A pen costs ₹10 more than a pencil. 6 pens and 6 pencils cost ₹240 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 4 and then add 36. The answer is 64. What is my number?
  17. 17.Solve for x: 6(x + 5) = x + 35. What is x?
  18. 18.Solve for x: 7(x + 5) = 2x + 65. What is x?
  19. 19.Solve for x: 8(x + 4) = 6x + 66. What is x?
  20. 20.Solve for x: 3(x + 8) = x + 58. What is x?
  21. 21.A pen costs ₹12 more than a pencil. 6 pens and 5 pencils cost ₹259 in all. What does one pencil cost (in ₹)?
  22. 22.10 × ? − 24 = 176
  23. 23.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  24. 24.Kavya has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 7(x + 6) = x + 132. What is x?
  26. 26.Meera has 19 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹13 more than a pencil. 4 pens and 8 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  29. 29.5 × ? − 14 = 46
  30. 30.Solve for x: 6(x + 8) = x + 118. What is x?
  31. 31.The length of a rectangle is 7 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  32. 32.A pen costs ₹15 more than a pencil. 6 pens and 6 pencils cost ₹282 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  34. 34.Nisha has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  35. 35.7 × ? + 8 = 71
  36. 36.Arjun has 23 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  37. 37.Solve for x: 8(x + 2) = 5x + 28. What is x?
  38. 38.Solve for x: 7(x + 5) = 2x + 80. What is x?
  39. 39.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 2 and then take away 13. The answer is 43. What is my number?

Answer key

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

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