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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 546 · 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 ₹13 more than a pencil. 5 pens and 7 pencils cost ₹293 in all. What does one pencil cost (in ₹)?
  2. 2.2 × ? + 16 = 26
  3. 3.Dev has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹13 more than a pencil. 5 pens and 3 pencils cost ₹161 in all. What does one pencil cost (in ₹)?
  5. 5.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 5 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  7. 7.Kabir has 29 coins, all ₹5 and ₹2 coins, worth ₹142 in all. How many ₹5 coins are there?
  8. 8.8 × ? − 16 = 80
  9. 9.A pen costs ₹6 more than a pencil. 3 pens and 3 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹14 more than a pencil. 6 pens and 7 pencils cost ₹331 in all. What does one pencil cost (in ₹)?
  11. 11.Zoya has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹6 more than a pencil. 5 pens and 5 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  14. 14.Nisha has 25 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  15. 15.Solve for x: 6(x + 3) = 5x + 19. What is x?
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  17. 17.Solve for x: 4(x + 9) = 2x + 76. What is x?
  18. 18.A pen costs ₹7 more than a pencil. 4 pens and 7 pencils cost ₹237 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹2 more than a pencil. 4 pens and 6 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  20. 20.3 × ? − 20 = 46
  21. 21.Solve for x: 3(x + 4) = 2x + 29. What is x?
  22. 22.5 × ? + 5 = 115
  23. 23.Solve for x: 5(x + 4) = x + 88. What is x?
  24. 24.I think of a number, multiply it by 9 and then add 8. The answer is 98. What is my number?
  25. 25.Solve for x: 3(x + 4) = x + 50. What is x?
  26. 26.Nisha has 21 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 8 and then add 25. The answer is 201. What is my number?
  29. 29.I think of a number, multiply it by 3 and then add 11. The answer is 68. What is my number?
  30. 30.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 9 and then take away 12. The answer is 69. What is my number?
  32. 32.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 11 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  34. 34.11 × ? + 17 = 72
  35. 35.The length of a rectangle is 6 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  36. 36.A pen costs ₹9 more than a pencil. 5 pens and 3 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 4 and then add 1. The answer is 21. What is my number?
  38. 38.The length of a rectangle is 7 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 3 and then add 40. The answer is 97. What is my number?

Answer key

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

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