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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 835 · 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.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹113 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 15 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  4. 4.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  5. 5.3 × ? − 2 = 22
  6. 6.I think of a number, multiply it by 7 and then add 28. The answer is 70. What is my number?
  7. 7.The length of a rectangle is 15 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  8. 8.Saanvi has 22 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹2 more than a pencil. 4 pens and 6 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  11. 11.Priya has 28 coins, all ₹5 and ₹2 coins, worth ₹119 in all. How many ₹5 coins are there?
  12. 12.Arjun has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 8 and then add 29. The answer is 149. What is my number?
  14. 14.2 × ? + 4 = 30
  15. 15.Solve for x: 9(x + 1) = 3x + 39. What is x?
  16. 16.Solve for x: 4(x + 4) = 3x + 22. What is x?
  17. 17.Solve for x: 6(x + 4) = 3x + 84. What is x?
  18. 18.3 × ? + 23 = 92
  19. 19.Solve for x: 7(x + 8) = 4x + 68. What is x?
  20. 20.Kavya has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  21. 21.Kabir has 29 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹12 more than a pencil. 5 pens and 6 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  23. 23.12 × ? + 19 = 151
  24. 24.The length of a rectangle is 4 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  25. 25.Solve for x: 8(x + 3) = x + 164. What is x?
  26. 26.7 × ? + 24 = 122
  27. 27.A pen costs ₹15 more than a pencil. 4 pens and 6 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 6 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  29. 29.3 × ? + 26 = 35
  30. 30.I think of a number, multiply it by 3 and then add 18. The answer is 27. What is my number?
  31. 31.Solve for x: 3(x + 7) = x + 53. What is x?
  32. 32.The length of a rectangle is 14 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 5 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 10 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  36. 36.5 × ? − 4 = 46
  37. 37.A pen costs ₹14 more than a pencil. 4 pens and 8 pencils cost ₹212 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  39. 39.A pen costs ₹12 more than a pencil. 6 pens and 8 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 6 and then take away 9. The answer is 129. What is my number?

Answer key

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

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