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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 164 · 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.Saanvi has 26 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  2. 2.4 × ? − 2 = 74
  3. 3.Manav has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹15 more than a pencil. 6 pens and 3 pencils cost ₹243 in all. What does one pencil cost (in ₹)?
  5. 5.10 × ? − 9 = 71
  6. 6.I think of a number, multiply it by 4 and then take away 2. The answer is 50. What is my number?
  7. 7.Solve for x: 8(x + 8) = 3x + 124. What is x?
  8. 8.Vivaan has 29 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  9. 9.8 × ? + 24 = 144
  10. 10.I think of a number, multiply it by 3 and then take away 10. The answer is 56. What is my number?
  11. 11.Pooja has 28 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹10 more than a pencil. 3 pens and 5 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  13. 13.10 × ? − 4 = 226
  14. 14.A pen costs ₹9 more than a pencil. 3 pens and 5 pencils cost ₹171 in all. What does one pencil cost (in ₹)?
  15. 15.Meera has 28 coins, all ₹5 and ₹2 coins, worth ₹122 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹10 more than a pencil. 5 pens and 8 pencils cost ₹245 in all. What does one pencil cost (in ₹)?
  17. 17.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  18. 18.Solve for x: 3(x + 8) = x + 50. What is x?
  19. 19.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 8 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  21. 21.A pen costs ₹2 more than a pencil. 5 pens and 5 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 7 and then add 32. The answer is 144. What is my number?
  23. 23.I think of a number, multiply it by 2 and then add 28. The answer is 54. What is my number?
  24. 24.7 × ? + 4 = 25
  25. 25.I think of a number, multiply it by 3 and then add 1. The answer is 22. What is my number?
  26. 26.Solve for x: 6(x + 7) = 2x + 110. What is x?
  27. 27.A pen costs ₹9 more than a pencil. 4 pens and 7 pencils cost ₹201 in all. What does one pencil cost (in ₹)?
  28. 28.4 × ? − 6 = 78
  29. 29.Aditya has 26 coins, all ₹5 and ₹2 coins, worth ₹115 in all. How many ₹5 coins are there?
  30. 30.4 × ? − 12 = 60
  31. 31.A pen costs ₹11 more than a pencil. 4 pens and 8 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  32. 32.3 × ? + 19 = 28
  33. 33.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 8(x + 2) = 4x + 96. What is x?
  35. 35.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 5 and then add 15. The answer is 110. What is my number?
  37. 37.3 × ? − 4 = 47
  38. 38.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  39. 39.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 6 and then take away 37. The answer is 29. What is my number?

Answer key

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

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