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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 655 · 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.I think of a number, multiply it by 3 and then take away 34. The answer is 50. What is my number?
  2. 2.Nisha has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  3. 3.Sneha has 17 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  4. 4.Priya has 26 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 3 and then take away 5. The answer is 10. What is my number?
  7. 7.I think of a number, multiply it by 4 and then add 2. The answer is 30. What is my number?
  8. 8.Arjun has 26 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  10. 10.9 × ? − 18 = 45
  11. 11.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  12. 12.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹9 more than a pencil. 5 pens and 7 pencils cost ₹237 in all. What does one pencil cost (in ₹)?
  14. 14.Aarav has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  15. 15.Solve for x: 7(x + 4) = x + 76. What is x?
  16. 16.A pen costs ₹12 more than a pencil. 5 pens and 6 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 4 and then add 28. The answer is 40. What is my number?
  18. 18.I think of a number, multiply it by 2 and then add 24. The answer is 82. What is my number?
  19. 19.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  20. 20.7 × ? − 22 = 6
  21. 21.I think of a number, multiply it by 3 and then take away 30. The answer is 24. What is my number?
  22. 22.Solve for x: 5(x + 8) = 4x + 54. What is x?
  23. 23.Manav has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  25. 25.7 × ? − 21 = 84
  26. 26.11 × ? + 30 = 305
  27. 27.I think of a number, multiply it by 5 and then take away 2. The answer is 8. What is my number?
  28. 28.The length of a rectangle is 15 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  29. 29.5 × ? + 6 = 81
  30. 30.I think of a number, multiply it by 8 and then add 35. The answer is 179. What is my number?
  31. 31.A pen costs ₹12 more than a pencil. 5 pens and 5 pencils cost ₹200 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 104 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 8 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 3 and then add 6. The answer is 27. What is my number?
  35. 35.9 × ? + 22 = 40
  36. 36.I think of a number, multiply it by 2 and then add 13. The answer is 33. What is my number?
  37. 37.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  38. 38.12 × ? − 14 = 130
  39. 39.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  40. 40.Pooja has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?

Answer key

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

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