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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 965 · 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 ₹5 more than a pencil. 4 pens and 5 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 6(x + 5) = 4x + 40. What is x?
  3. 3.9 × ? + 20 = 74
  4. 4.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 6 and then add 33. The answer is 171. What is my number?
  6. 6.Ishaan has 19 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  8. 8.5 × ? + 19 = 29
  9. 9.Solve for x: 4(x + 2) = 3x + 25. What is x?
  10. 10.Rohan has 24 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  11. 11.Rohan has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 7 and then add 5. The answer is 33. What is my number?
  13. 13.4 × ? − 15 = 17
  14. 14.I think of a number, multiply it by 3 and then add 17. The answer is 47. What is my number?
  15. 15.Rahul has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 5 and then add 11. The answer is 146. What is my number?
  17. 17.Zoya has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 4 and then take away 6. The answer is 114. What is my number?
  19. 19.A pen costs ₹11 more than a pencil. 4 pens and 3 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 5(x + 7) = 4x + 37. What is x?
  21. 21.I think of a number, multiply it by 4 and then add 23. The answer is 51. What is my number?
  22. 22.4 × ? − 26 = 38
  23. 23.Solve for x: 3(x + 2) = x + 16. What is x?
  24. 24.Tara has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 8 and then add 5. The answer is 229. What is my number?
  26. 26.A pen costs ₹14 more than a pencil. 5 pens and 5 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹9 more than a pencil. 2 pens and 8 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 2 and then add 40. The answer is 100. What is my number?
  29. 29.Diya has 30 coins, all ₹5 and ₹2 coins, worth ₹135 in all. How many ₹5 coins are there?
  30. 30.12 × ? + 1 = 253
  31. 31.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  32. 32.Solve for x: 5(x + 1) = 4x + 9. What is x?
  33. 33.A pen costs ₹13 more than a pencil. 2 pens and 5 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹13 more than a pencil. 5 pens and 5 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 7(x + 4) = 3x + 88. What is x?
  36. 36.A pen costs ₹8 more than a pencil. 4 pens and 3 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  37. 37.12 × ? − 13 = 179
  38. 38.Sneha has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 4(x + 9) = x + 48. What is x?
  40. 40.Solve for x: 6(x + 5) = 5x + 48. What is x?

Answer key

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

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