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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 124 · 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.Solve for x: 9(x + 1) = 4x + 99. What is x?
  2. 2.Isha has 21 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 8 and then take away 37. The answer is 51. What is my number?
  4. 4.Solve for x: 9(x + 1) = 8x + 20. What is x?
  5. 5.Ishaan has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  6. 6.Pooja has 24 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  7. 7.Solve for x: 4(x + 9) = 2x + 46. What is x?
  8. 8.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  9. 9.Solve for x: 8(x + 6) = x + 97. What is x?
  10. 10.Solve for x: 5(x + 3) = 3x + 29. What is x?
  11. 11.Solve for x: 5(x + 9) = 4x + 46. What is x?
  12. 12.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹278 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 7 and then take away 24. The answer is 179. What is my number?
  14. 14.Rahul has 20 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹6 more than a pencil. 5 pens and 4 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  16. 16.Kabir has 27 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 2 and then add 34. The answer is 70. What is my number?
  18. 18.Rahul has 28 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
  19. 19.Meera has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 2 and then take away 17. The answer is 19. What is my number?
  21. 21.I think of a number, multiply it by 2 and then take away 34. The answer is 10. What is my number?
  22. 22.Aditya has 29 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹7 more than a pencil. 5 pens and 7 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  24. 24.9 × ? − 30 = 195
  25. 25.12 × ? − 22 = 26
  26. 26.I think of a number, multiply it by 5 and then take away 16. The answer is 84. What is my number?
  27. 27.Farhan has 20 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  29. 29.7 × ? + 23 = 79
  30. 30.Aditya has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  31. 31.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  33. 33.Solve for x: 4(x + 9) = 2x + 40. What is x?
  34. 34.Solve for x: 3(x + 7) = x + 35. What is x?
  35. 35.Kavya has 25 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 5 and then take away 16. The answer is 109. What is my number?
  37. 37.Kavya has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  38. 38.The length of a rectangle is 7 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 5 and then take away 10. The answer is 140. What is my number?
  40. 40.Solve for x: 6(x + 2) = 4x + 30. What is x?

Answer key

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

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