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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 518 · 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.Diya has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  2. 2.2 × ? + 24 = 30
  3. 3.4 × ? + 22 = 38
  4. 4.The length of a rectangle is 2 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  5. 5.Kavya has 15 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 7(x + 4) = 2x + 88. What is x?
  8. 8.Solve for x: 9(x + 9) = 2x + 214. What is x?
  9. 9.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  10. 10.Vivaan has 19 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  11. 11.10 × ? − 7 = 213
  12. 12.I think of a number, multiply it by 3 and then add 4. The answer is 31. What is my number?
  13. 13.10 × ? − 21 = 69
  14. 14.A pen costs ₹10 more than a pencil. 2 pens and 7 pencils cost ₹191 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  16. 16.8 × ? − 10 = 22
  17. 17.A pen costs ₹8 more than a pencil. 4 pens and 7 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 9 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 12 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  21. 21.5 × ? + 14 = 49
  22. 22.I think of a number, multiply it by 5 and then take away 9. The answer is 126. What is my number?
  23. 23.A pen costs ₹12 more than a pencil. 5 pens and 4 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹3 more than a pencil. 4 pens and 5 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 9(x + 4) = 2x + 99. What is x?
  26. 26.3 × ? + 1 = 13
  27. 27.Dev has 19 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 11 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 3 and then take away 32. The answer is 52. What is my number?
  30. 30.I think of a number, multiply it by 9 and then add 10. The answer is 271. What is my number?
  31. 31.The length of a rectangle is 3 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  32. 32.4 × ? − 9 = 31
  33. 33.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  35. 35.Solve for x: 5(x + 2) = x + 90. What is x?
  36. 36.Aarav has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 8 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  38. 38.11 × ? + 25 = 256
  39. 39.5 × ? + 27 = 102
  40. 40.I think of a number, multiply it by 5 and then take away 9. The answer is 111. What is my number?

Answer key

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

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