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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 790 · 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 ₹3 more than a pencil. 6 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 9(x + 6) = 3x + 138. What is x?
  3. 3.4 × ? + 26 = 42
  4. 4.Ananya has 17 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹14 more than a pencil. 3 pens and 3 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  7. 7.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹15 more than a pencil. 6 pens and 8 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 7(x + 5) = 3x + 47. What is x?
  10. 10.A pen costs ₹7 more than a pencil. 3 pens and 8 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 15 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 10 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  13. 13.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 6(x + 4) = 2x + 80. What is x?
  15. 15.12 × ? − 16 = 68
  16. 16.Diya has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹14 more than a pencil. 5 pens and 2 pencils cost ₹203 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹5 more than a pencil. 6 pens and 6 pencils cost ₹234 in all. What does one pencil cost (in ₹)?
  19. 19.5 × ? − 6 = 39
  20. 20.I think of a number, multiply it by 7 and then add 6. The answer is 188. What is my number?
  21. 21.The length of a rectangle is 2 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  22. 22.Solve for x: 4(x + 5) = 2x + 36. What is x?
  23. 23.3 × ? − 20 = 4
  24. 24.A pen costs ₹12 more than a pencil. 4 pens and 2 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  25. 25.A pen costs ₹9 more than a pencil. 4 pens and 5 pencils cost ₹207 in all. What does one pencil cost (in ₹)?
  26. 26.Farhan has 23 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 9(x + 1) = 5x + 17. What is x?
  28. 28.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  29. 29.5 × ? + 22 = 37
  30. 30.A pen costs ₹13 more than a pencil. 6 pens and 3 pencils cost ₹240 in all. What does one pencil cost (in ₹)?
  31. 31.9 × ? − 7 = 47
  32. 32.Tara has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  33. 33.Solve for x: 6(x + 1) = 2x + 18. What is x?
  34. 34.A pen costs ₹13 more than a pencil. 3 pens and 4 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  35. 35.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  36. 36.A pen costs ₹3 more than a pencil. 2 pens and 8 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹7 more than a pencil. 4 pens and 5 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  38. 38.6 × ? − 2 = 70
  39. 39.Manav has 20 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹5 more than a pencil. 4 pens and 2 pencils cost ₹134 in all. What does one pencil cost (in ₹)?

Answer key

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

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