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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 713 · 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 ₹13 more than a pencil. 3 pens and 8 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 14 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  3. 3.10 × ? − 6 = 174
  4. 4.Solve for x: 5(x + 2) = 4x + 30. What is x?
  5. 5.Solve for x: 3(x + 8) = x + 56. What is x?
  6. 6.3 × ? + 19 = 70
  7. 7.10 × ? − 21 = 129
  8. 8.Solve for x: 5(x + 1) = 4x + 9. What is x?
  9. 9.10 × ? − 3 = 37
  10. 10.Solve for x: 5(x + 5) = 4x + 41. What is x?
  11. 11.Aarav has 17 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  12. 12.Kabir has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 4 and then add 39. The answer is 131. What is my number?
  14. 14.3 × ? + 2 = 62
  15. 15.A pen costs ₹9 more than a pencil. 2 pens and 6 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  16. 16.9 × ? − 17 = 208
  17. 17.I think of a number, multiply it by 2 and then add 6. The answer is 26. What is my number?
  18. 18.The length of a rectangle is 7 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  19. 19.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  20. 20.Aarav has 28 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹3 more than a pencil. 4 pens and 6 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  22. 22.Aditya has 30 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹10 more than a pencil. 3 pens and 6 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 5 and then take away 5. The answer is 10. What is my number?
  25. 25.A pen costs ₹2 more than a pencil. 5 pens and 3 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 5 and then take away 19. The answer is 96. What is my number?
  27. 27.11 × ? − 26 = 194
  28. 28.The length of a rectangle is 12 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 15 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  30. 30.The length of a rectangle is 5 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  31. 31.A pen costs ₹10 more than a pencil. 4 pens and 6 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 12 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  33. 33.10 × ? − 18 = 232
  34. 34.Kabir has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 9 and then add 9. The answer is 54. What is my number?
  36. 36.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹10 more than a pencil. 4 pens and 7 pencils cost ₹161 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 2 and then take away 11. The answer is 29. What is my number?
  39. 39.I think of a number, multiply it by 8 and then take away 16. The answer is 208. What is my number?
  40. 40.The length of a rectangle is 15 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?

Answer key

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

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