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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 243 · 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.Diya has 28 coins, all ₹5 and ₹2 coins, worth ₹119 in all. How many ₹5 coins are there?
  2. 2.Rahul has 27 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 8(x + 7) = 4x + 100. What is x?
  4. 4.A pen costs ₹3 more than a pencil. 6 pens and 4 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  5. 5.3 × ? + 23 = 32
  6. 6.I think of a number, multiply it by 9 and then add 11. The answer is 119. What is my number?
  7. 7.6 × ? − 2 = 22
  8. 8.Solve for x: 8(x + 4) = 6x + 42. What is x?
  9. 9.I think of a number, multiply it by 4 and then add 19. The answer is 119. What is my number?
  10. 10.A pen costs ₹6 more than a pencil. 6 pens and 4 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  11. 11.Nisha has 25 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 4(x + 1) = x + 16. What is x?
  13. 13.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹39 in all. What does one pencil cost (in ₹)?
  14. 14.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹6 more than a pencil. 5 pens and 4 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 9 and then add 21. The answer is 156. What is my number?
  17. 17.Solve for x: 9(x + 4) = 8x + 49. What is x?
  18. 18.The length of a rectangle is 8 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  19. 19.Solve for x: 6(x + 1) = 2x + 78. What is x?
  20. 20.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  21. 21.Aarav has 13 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹9 more than a pencil. 3 pens and 5 pencils cost ₹139 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 3 and then take away 32. The answer is 34. What is my number?
  24. 24.A pen costs ₹9 more than a pencil. 4 pens and 4 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  25. 25.4 × ? + 6 = 50
  26. 26.I think of a number, multiply it by 4 and then add 7. The answer is 27. What is my number?
  27. 27.Aditya has 26 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  29. 29.Solve for x: 5(x + 7) = 2x + 89. What is x?
  30. 30.I think of a number, multiply it by 3 and then add 25. The answer is 55. What is my number?
  31. 31.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 8(x + 3) = 3x + 124. What is x?
  33. 33.I think of a number, multiply it by 8 and then add 23. The answer is 79. What is my number?
  34. 34.9 × ? − 16 = 137
  35. 35.I think of a number, multiply it by 3 and then take away 22. The answer is 41. What is my number?
  36. 36.Solve for x: 4(x + 7) = 2x + 64. What is x?
  37. 37.8 × ? + 9 = 185
  38. 38.Ananya has 25 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  39. 39.3 × ? + 13 = 79
  40. 40.The length of a rectangle is 7 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?

Answer key

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

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