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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 554 · 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.I think of a number, multiply it by 6 and then take away 38. The answer is 34. What is my number?
  2. 2.I think of a number, multiply it by 7 and then take away 28. The answer is 119. What is my number?
  3. 3.5 × ? + 10 = 20
  4. 4.Nisha has 28 coins, all ₹5 and ₹2 coins, worth ₹125 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 6 and then take away 4. The answer is 146. What is my number?
  6. 6.7 × ? − 17 = 130
  7. 7.A pen costs ₹9 more than a pencil. 4 pens and 7 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹4 more than a pencil. 4 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  9. 9.8 × ? − 2 = 142
  10. 10.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  11. 11.2 × ? + 22 = 42
  12. 12.Ishaan has 27 coins, all ₹5 and ₹2 coins, worth ₹123 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 3(x + 4) = 2x + 13. What is x?
  14. 14.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  15. 15.Arjun has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 5 and then take away 9. The answer is 11. What is my number?
  17. 17.Manav has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  18. 18.6 × ? − 22 = 86
  19. 19.A pen costs ₹2 more than a pencil. 2 pens and 3 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  20. 20.2 × ? + 20 = 26
  21. 21.I think of a number, multiply it by 4 and then take away 2. The answer is 118. What is my number?
  22. 22.5 × ? − 14 = 71
  23. 23.The length of a rectangle is 11 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  24. 24.3 × ? + 19 = 70
  25. 25.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 3 and then add 30. The answer is 81. What is my number?
  27. 27.Solve for x: 6(x + 1) = 3x + 39. What is x?
  28. 28.A pen costs ₹15 more than a pencil. 4 pens and 3 pencils cost ₹193 in all. What does one pencil cost (in ₹)?
  29. 29.Rahul has 17 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 8 and then add 20. The answer is 220. What is my number?
  31. 31.I think of a number, multiply it by 4 and then take away 21. The answer is 87. What is my number?
  32. 32.8 × ? + 5 = 53
  33. 33.The length of a rectangle is 4 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  34. 34.Aarav has 30 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  35. 35.11 × ? + 20 = 119
  36. 36.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  38. 38.Karan has 21 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 9(x + 9) = 5x + 141. What is x?
  40. 40.A pen costs ₹11 more than a pencil. 3 pens and 2 pencils cost ₹73 in all. What does one pencil cost (in ₹)?

Answer key

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

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