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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 158 · 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.Vivaan has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹2 more than a pencil. 2 pens and 3 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 10 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  4. 4.6 × ? − 1 = 125
  5. 5.Solve for x: 6(x + 3) = 4x + 52. What is x?
  6. 6.The length of a rectangle is 11 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  7. 7.Kavya has 20 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 8 and then take away 18. The answer is 54. What is my number?
  9. 9.7 × ? − 22 = 132
  10. 10.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  11. 11.A pen costs ₹3 more than a pencil. 3 pens and 7 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  12. 12.12 × ? + 2 = 98
  13. 13.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 11 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  16. 16.Sneha has 25 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  17. 17.8 × ? + 20 = 196
  18. 18.A pen costs ₹3 more than a pencil. 5 pens and 5 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  19. 19.Nisha has 22 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  20. 20.Farhan has 23 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 15 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  22. 22.Solve for x: 6(x + 1) = 4x + 36. What is x?
  23. 23.I think of a number, multiply it by 3 and then add 17. The answer is 95. What is my number?
  24. 24.A pen costs ₹2 more than a pencil. 2 pens and 4 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 8(x + 5) = 7x + 59. What is x?
  26. 26.A pen costs ₹14 more than a pencil. 6 pens and 8 pencils cost ₹364 in all. What does one pencil cost (in ₹)?
  27. 27.Meera has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  28. 28.Farhan has 28 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹4 more than a pencil. 4 pens and 3 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 5 and then take away 4. The answer is 126. What is my number?
  31. 31.I think of a number, multiply it by 5 and then take away 14. The answer is 61. What is my number?
  32. 32.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  33. 33.Priya has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  34. 34.Sneha has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 11 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  36. 36.Solve for x: 3(x + 3) = 2x + 22. What is x?
  37. 37.A pen costs ₹14 more than a pencil. 3 pens and 2 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  38. 38.10 × ? + 23 = 133
  39. 39.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  40. 40.Solve for x: 7(x + 8) = 5x + 62. What is x?

Answer key

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

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