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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 791 · 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 ₹14 more than a pencil. 5 pens and 3 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  3. 3.Ananya has 18 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  4. 4.3 × ? − 21 = 3
  5. 5.A pen costs ₹12 more than a pencil. 6 pens and 5 pencils cost ₹281 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 5 and then add 37. The answer is 132. What is my number?
  7. 7.Solve for x: 7(x + 7) = 4x + 94. What is x?
  8. 8.A pen costs ₹13 more than a pencil. 4 pens and 6 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  9. 9.10 × ? + 9 = 149
  10. 10.The length of a rectangle is 5 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  11. 11.Solve for x: 3(x + 6) = 2x + 31. What is x?
  12. 12.Arjun has 24 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 3(x + 4) = 2x + 18. What is x?
  14. 14.A pen costs ₹2 more than a pencil. 3 pens and 4 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  15. 15.Dev has 28 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 6 and then take away 21. The answer is 135. What is my number?
  17. 17.I think of a number, multiply it by 2 and then add 27. The answer is 49. What is my number?
  18. 18.I think of a number, multiply it by 2 and then add 7. The answer is 15. What is my number?
  19. 19.A pen costs ₹15 more than a pencil. 6 pens and 6 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 8 and then add 4. The answer is 196. What is my number?
  21. 21.The length of a rectangle is 12 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 11 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  23. 23.Ishaan has 29 coins, all ₹5 and ₹2 coins, worth ₹133 in all. How many ₹5 coins are there?
  24. 24.6 × ? + 2 = 140
  25. 25.Solve for x: 6(x + 6) = 2x + 88. What is x?
  26. 26.The length of a rectangle is 13 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 3 and then add 5. The answer is 38. What is my number?
  28. 28.4 × ? − 16 = 44
  29. 29.2 × ? + 27 = 35
  30. 30.5 × ? − 19 = 26
  31. 31.Solve for x: 3(x + 1) = 2x + 19. What is x?
  32. 32.The length of a rectangle is 14 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  33. 33.A pen costs ₹3 more than a pencil. 5 pens and 5 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  34. 34.10 × ? + 8 = 198
  35. 35.Solve for x: 5(x + 4) = 4x + 23. What is x?
  36. 36.Kabir has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 10 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 4 and then add 8. The answer is 88. What is my number?
  39. 39.Arjun has 21 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 3(x + 9) = x + 31. What is x?

Answer key

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

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