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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 800 · 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 2 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹10 more than a pencil. 2 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 3(x + 2) = x + 12. What is x?
  4. 4.6 × ? + 20 = 164
  5. 5.The length of a rectangle is 9 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 13 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  7. 7.A pen costs ₹12 more than a pencil. 6 pens and 3 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  8. 8.The length of a rectangle is 2 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  9. 9.3 × ? + 18 = 51
  10. 10.Kabir has 29 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 6 and then add 17. The answer is 83. What is my number?
  12. 12.I think of a number, multiply it by 7 and then take away 9. The answer is 26. What is my number?
  13. 13.I think of a number, multiply it by 4 and then take away 3. The answer is 25. What is my number?
  14. 14.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  15. 15.2 × ? + 12 = 46
  16. 16.Priya has 27 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  17. 17.Priya has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 8 and then take away 26. The answer is 110. What is my number?
  19. 19.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  20. 20.Dev has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  21. 21.7 × ? − 2 = 145
  22. 22.Dev has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹15 more than a pencil. 5 pens and 5 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  26. 26.A pen costs ₹6 more than a pencil. 5 pens and 7 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 6 and then add 28. The answer is 142. What is my number?
  28. 28.A pen costs ₹14 more than a pencil. 3 pens and 7 pencils cost ₹242 in all. What does one pencil cost (in ₹)?
  29. 29.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹6 more than a pencil. 3 pens and 8 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  32. 32.A pen costs ₹5 more than a pencil. 2 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹20 in all. What does one pencil cost (in ₹)?
  34. 34.Ishaan has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 7 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  36. 36.Solve for x: 5(x + 6) = 2x + 81. What is x?
  37. 37.A pen costs ₹15 more than a pencil. 4 pens and 4 pencils cost ₹220 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  39. 39.Solve for x: 4(x + 6) = 2x + 28. What is x?
  40. 40.I think of a number, multiply it by 3 and then add 23. The answer is 29. What is my number?

Answer key

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

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