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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 353 · 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 ₹11 more than a pencil. 3 pens and 5 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 5 and then add 39. The answer is 119. What is my number?
  3. 3.Solve for x: 3(x + 3) = x + 15. What is x?
  4. 4.5 × ? + 23 = 88
  5. 5.Solve for x: 5(x + 8) = x + 80. What is x?
  6. 6.Solve for x: 6(x + 1) = x + 61. What is x?
  7. 7.A pen costs ₹10 more than a pencil. 6 pens and 7 pencils cost ₹242 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹6 more than a pencil. 2 pens and 7 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  9. 9.5 × ? − 25 = 80
  10. 10.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  11. 11.Isha has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  12. 12.Manav has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  13. 13.Manav has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 8(x + 5) = 2x + 46. What is x?
  15. 15.Solve for x: 7(x + 9) = 5x + 71. What is x?
  16. 16.Aarav has 29 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 3 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 6 and then take away 10. The answer is 122. What is my number?
  19. 19.I think of a number, multiply it by 8 and then take away 36. The answer is 60. What is my number?
  20. 20.I think of a number, multiply it by 5 and then take away 15. The answer is 115. What is my number?
  21. 21.Aarav has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 6(x + 2) = 5x + 27. What is x?
  23. 23.Arjun has 30 coins, all ₹5 and ₹2 coins, worth ₹144 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 5 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  25. 25.4 × ? + 16 = 96
  26. 26.A pen costs ₹6 more than a pencil. 5 pens and 7 pencils cost ₹246 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹4 more than a pencil. 6 pens and 3 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 3(x + 8) = x + 56. What is x?
  29. 29.I think of a number, multiply it by 6 and then add 20. The answer is 92. What is my number?
  30. 30.I think of a number, multiply it by 3 and then take away 16. The answer is 17. What is my number?
  31. 31.Sneha has 29 coins, all ₹5 and ₹2 coins, worth ₹112 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 6 and then add 39. The answer is 177. What is my number?
  33. 33.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 6 and then take away 16. The answer is 158. What is my number?
  35. 35.7 × ? + 17 = 108
  36. 36.A pen costs ₹12 more than a pencil. 6 pens and 7 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹12 more than a pencil. 6 pens and 3 pencils cost ₹171 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹9 more than a pencil. 3 pens and 6 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹2 more than a pencil. 2 pens and 5 pencils cost ₹39 in all. What does one pencil cost (in ₹)?
  40. 40.2 × ? + 19 = 61

Answer key

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

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