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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 830 · 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. 1.10 × ? − 30 = 30
  2. 2.7 × ? + 23 = 191
  3. 3.A pen costs ₹13 more than a pencil. 5 pens and 3 pencils cost ₹185 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 13 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  5. 5.Rahul has 24 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 7 and then add 22. The answer is 99. What is my number?
  7. 7.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 9 and then take away 29. The answer is 79. What is my number?
  9. 9.Solve for x: 8(x + 4) = 7x + 38. What is x?
  10. 10.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  11. 11.Karan has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  12. 12.Zoya has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  13. 13.Zoya has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 11 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  15. 15.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  16. 16.Dev has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹13 more than a pencil. 6 pens and 2 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 8 and then add 22. The answer is 262. What is my number?
  19. 19.A pen costs ₹13 more than a pencil. 4 pens and 6 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  21. 21.3 × ? − 15 = 36
  22. 22.Diya has 19 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  23. 23.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 7 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 2 and then add 21. The answer is 43. What is my number?
  26. 26.Solve for x: 8(x + 1) = 6x + 40. What is x?
  27. 27.A pen costs ₹9 more than a pencil. 6 pens and 5 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 7 and then take away 9. The answer is 131. What is my number?
  29. 29.4 × ? + 27 = 43
  30. 30.Solve for x: 6(x + 4) = x + 39. What is x?
  31. 31.Ishaan has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  32. 32.4 × ? − 10 = 26
  33. 33.I think of a number, multiply it by 4 and then add 34. The answer is 142. What is my number?
  34. 34.5 × ? − 22 = 48
  35. 35.Solve for x: 9(x + 7) = 5x + 91. What is x?
  36. 36.6 × ? − 18 = 30
  37. 37.I think of a number, multiply it by 9 and then take away 14. The answer is 211. What is my number?
  38. 38.Saanvi has 15 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 7 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?

Answer key

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

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