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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 345 · 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 ₹4 more than a pencil. 3 pens and 6 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 9(x + 5) = 3x + 147. What is x?
  3. 3.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹191 in all. What does one pencil cost (in ₹)?
  4. 4.7 × ? + 23 = 37
  5. 5.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 2 and then take away 20. The answer is 18. What is my number?
  7. 7.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 6(x + 6) = 2x + 56. What is x?
  9. 9.I think of a number, multiply it by 4 and then take away 12. The answer is 64. What is my number?
  10. 10.A pen costs ₹13 more than a pencil. 4 pens and 3 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  11. 11.Priya has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹14 more than a pencil. 2 pens and 7 pencils cost ₹163 in all. What does one pencil cost (in ₹)?
  13. 13.Meera has 19 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 13 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  15. 15.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 8 and then take away 33. The answer is 63. What is my number?
  17. 17.I think of a number, multiply it by 3 and then add 25. The answer is 97. What is my number?
  18. 18.Meera has 17 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  19. 19.Solve for x: 4(x + 4) = 3x + 34. What is x?
  20. 20.A pen costs ₹6 more than a pencil. 2 pens and 8 pencils cost ₹212 in all. What does one pencil cost (in ₹)?
  21. 21.Kabir has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  22. 22.6 × ? − 9 = 45
  23. 23.Dev has 20 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 11 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 6 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  26. 26.4 × ? − 20 = 68
  27. 27.Solve for x: 5(x + 5) = 2x + 79. What is x?
  28. 28.Solve for x: 3(x + 3) = x + 29. What is x?
  29. 29.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 15 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  31. 31.Pooja has 22 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 14 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 7 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  35. 35.A pen costs ₹7 more than a pencil. 4 pens and 5 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 5 and then add 36. The answer is 91. What is my number?
  38. 38.A pen costs ₹9 more than a pencil. 3 pens and 5 pencils cost ₹171 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 8(x + 6) = 3x + 118. What is x?
  40. 40.A pen costs ₹2 more than a pencil. 2 pens and 4 pencils cost ₹82 in all. What does one pencil cost (in ₹)?

Answer key

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

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