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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 399 · 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 ₹15 more than a pencil. 2 pens and 4 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  2. 2.Zoya has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  3. 3.Rohan has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  4. 4.5 × ? − 4 = 16
  5. 5.I think of a number, multiply it by 9 and then take away 13. The answer is 131. What is my number?
  6. 6.I think of a number, multiply it by 2 and then add 4. The answer is 28. What is my number?
  7. 7.4 × ? + 15 = 23
  8. 8.I think of a number, multiply it by 7 and then add 33. The answer is 145. What is my number?
  9. 9.Solve for x: 6(x + 7) = 2x + 74. What is x?
  10. 10.A pen costs ₹4 more than a pencil. 6 pens and 7 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 3 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 10 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  13. 13.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  14. 14.7 × ? + 23 = 177
  15. 15.A pen costs ₹10 more than a pencil. 3 pens and 4 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 4 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 4 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  18. 18.A pen costs ₹14 more than a pencil. 2 pens and 6 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  19. 19.2 × ? + 5 = 31
  20. 20.A pen costs ₹13 more than a pencil. 6 pens and 6 pencils cost ₹222 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 6 and then add 24. The answer is 72. What is my number?
  22. 22.I think of a number, multiply it by 7 and then add 14. The answer is 84. What is my number?
  23. 23.Ishaan has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  24. 24.Saanvi has 19 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹2 more than a pencil. 3 pens and 4 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  26. 26.3 × ? − 6 = 39
  27. 27.Solve for x: 3(x + 2) = x + 26. What is x?
  28. 28.10 × ? + 17 = 37
  29. 29.Nisha has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  30. 30.5 × ? + 2 = 47
  31. 31.10 × ? + 7 = 57
  32. 32.I think of a number, multiply it by 5 and then add 35. The answer is 100. What is my number?
  33. 33.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹7 more than a pencil. 5 pens and 4 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 3(x + 4) = x + 48. What is x?
  36. 36.The length of a rectangle is 3 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 9 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  38. 38.11 × ? − 22 = 198
  39. 39.Rahul has 23 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 15 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?

Answer key

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

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