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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 590 · 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.The length of a rectangle is 15 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  2. 2.Solve for x: 5(x + 9) = x + 53. What is x?
  3. 3.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  4. 4.A pen costs ₹4 more than a pencil. 6 pens and 4 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  5. 5.Tara has 28 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 4 and then add 29. The answer is 105. What is my number?
  7. 7.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 5(x + 9) = 3x + 85. What is x?
  9. 9.Solve for x: 4(x + 4) = 2x + 50. What is x?
  10. 10.A pen costs ₹10 more than a pencil. 5 pens and 7 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹12 more than a pencil. 5 pens and 4 pencils cost ₹240 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹13 more than a pencil. 2 pens and 4 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹6 more than a pencil. 3 pens and 5 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 6 and then take away 19. The answer is 41. What is my number?
  15. 15.10 × ? − 27 = 33
  16. 16.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 4(x + 5) = 2x + 50. What is x?
  18. 18.Meera has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  19. 19.Zoya has 29 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 13 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  22. 22.5 × ? + 21 = 76
  23. 23.I think of a number, multiply it by 4 and then take away 2. The answer is 14. What is my number?
  24. 24.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  25. 25.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 5(x + 1) = x + 9. What is x?
  27. 27.Sneha has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  28. 28.4 × ? + 25 = 117
  29. 29.Aarav has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹13 more than a pencil. 2 pens and 7 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 4 and then add 31. The answer is 103. What is my number?
  32. 32.The length of a rectangle is 10 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  33. 33.6 × ? − 11 = 25
  34. 34.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  35. 35.9 × ? − 15 = 174
  36. 36.4 × ? − 7 = 1
  37. 37.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 14 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 9 and then take away 2. The answer is 151. What is my number?

Answer key

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

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