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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 972 · 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.A pen costs ₹6 more than a pencil. 5 pens and 4 pencils cost ₹183 in all. What does one pencil cost (in ₹)?
  2. 2.4 × ? + 11 = 35
  3. 3.I think of a number, multiply it by 8 and then take away 20. The answer is 132. What is my number?
  4. 4.Solve for x: 6(x + 4) = 4x + 42. What is x?
  5. 5.Nisha has 22 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹11 more than a pencil. 5 pens and 8 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 3 and then add 25. The answer is 85. What is my number?
  8. 8.Aarav has 19 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  9. 9.Diya has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 4(x + 8) = 2x + 70. What is x?
  11. 11.A pen costs ₹9 more than a pencil. 3 pens and 6 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  13. 13.Kabir has 19 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  14. 14.6 × ? − 28 = 74
  15. 15.Solve for x: 7(x + 2) = x + 38. What is x?
  16. 16.A pen costs ₹13 more than a pencil. 2 pens and 8 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  17. 17.The length of a rectangle is 4 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  18. 18.A pen costs ₹13 more than a pencil. 3 pens and 2 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  19. 19.7 × ? − 10 = 102
  20. 20.8 × ? + 14 = 86
  21. 21.The length of a rectangle is 14 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 11 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 6 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 15 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  26. 26.8 × ? − 11 = 101
  27. 27.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 5 and then take away 26. The answer is 104. What is my number?
  29. 29.A pen costs ₹8 more than a pencil. 6 pens and 4 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  30. 30.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 8 and then add 33. The answer is 81. What is my number?
  32. 32.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 4 and then take away 36. The answer is 24. What is my number?
  34. 34.I think of a number, multiply it by 2 and then add 25. The answer is 49. What is my number?
  35. 35.I think of a number, multiply it by 4 and then take away 36. The answer is 48. What is my number?
  36. 36.The length of a rectangle is 8 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  37. 37.Ananya has 24 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 8 and then add 7. The answer is 71. What is my number?
  39. 39.Rahul has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 3 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?

Answer key

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

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