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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 295 · 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. 3 pens and 2 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  3. 3.6 × ? − 9 = 63
  4. 4.The length of a rectangle is 11 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 11 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  6. 6.Diya has 18 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  7. 7.Meera has 26 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 3 and then add 28. The answer is 115. What is my number?
  9. 9.Rohan has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  10. 10.Manav has 22 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  11. 11.The length of a rectangle is 10 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  12. 12.A pen costs ₹15 more than a pencil. 6 pens and 2 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  13. 13.5 × ? + 30 = 50
  14. 14.The length of a rectangle is 3 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  15. 15.Karan has 21 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 3 and then add 35. The answer is 50. What is my number?
  17. 17.I think of a number, multiply it by 8 and then add 1. The answer is 17. What is my number?
  18. 18.Kavya has 26 coins, all ₹5 and ₹2 coins, worth ₹127 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 9 and then add 13. The answer is 202. What is my number?
  20. 20.Solve for x: 5(x + 2) = 3x + 40. What is x?
  21. 21.9 × ? − 17 = 109
  22. 22.Solve for x: 6(x + 6) = 2x + 48. What is x?
  23. 23.10 × ? − 4 = 16
  24. 24.7 × ? − 5 = 114
  25. 25.Solve for x: 3(x + 4) = x + 44. What is x?
  26. 26.4 × ? + 1 = 57
  27. 27.5 × ? + 21 = 61
  28. 28.3 × ? + 10 = 70
  29. 29.Solve for x: 9(x + 3) = 2x + 167. What is x?
  30. 30.I think of a number, multiply it by 2 and then add 32. The answer is 44. What is my number?
  31. 31.I think of a number, multiply it by 5 and then add 1. The answer is 36. What is my number?
  32. 32.A pen costs ₹4 more than a pencil. 2 pens and 8 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹11 more than a pencil. 5 pens and 4 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 7 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 6 and then add 15. The answer is 129. What is my number?
  36. 36.A pen costs ₹2 more than a pencil. 6 pens and 3 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹9 more than a pencil. 6 pens and 4 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 4(x + 8) = x + 38. What is x?
  39. 39.I think of a number, multiply it by 6 and then add 15. The answer is 195. What is my number?
  40. 40.Solve for x: 8(x + 8) = 6x + 90. What is x?

Answer key

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

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