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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 147 · 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. 6 pens and 4 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
  2. 2.Vivaan has 26 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 8(x + 1) = 2x + 56. What is x?
  4. 4.A pen costs ₹13 more than a pencil. 5 pens and 5 pencils cost ₹225 in all. What does one pencil cost (in ₹)?
  5. 5.6 × ? + 22 = 82
  6. 6.5 × ? + 3 = 63
  7. 7.I think of a number, multiply it by 8 and then add 5. The answer is 165. What is my number?
  8. 8.Manav has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  9. 9.9 × ? + 3 = 84
  10. 10.I think of a number, multiply it by 6 and then take away 13. The answer is 113. What is my number?
  11. 11.The length of a rectangle is 5 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 7 and then add 27. The answer is 167. What is my number?
  13. 13.I think of a number, multiply it by 5 and then add 34. The answer is 129. What is my number?
  14. 14.I think of a number, multiply it by 6 and then take away 15. The answer is 111. What is my number?
  15. 15.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 14 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  18. 18.Solve for x: 5(x + 5) = 3x + 55. What is x?
  19. 19.8 × ? + 8 = 104
  20. 20.A pen costs ₹4 more than a pencil. 6 pens and 5 pencils cost ₹167 in all. What does one pencil cost (in ₹)?
  21. 21.Arjun has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  22. 22.9 × ? − 8 = 172
  23. 23.11 × ? + 3 = 267
  24. 24.Saanvi has 19 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 9 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  26. 26.A pen costs ₹13 more than a pencil. 5 pens and 5 pencils cost ₹245 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 4 and then take away 36. The answer is 12. What is my number?
  28. 28.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  30. 30.Solve for x: 4(x + 4) = 3x + 21. What is x?
  31. 31.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  32. 32.Karan has 20 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  33. 33.9 × ? + 7 = 169
  34. 34.Solve for x: 4(x + 2) = x + 35. What is x?
  35. 35.A pen costs ₹5 more than a pencil. 4 pens and 2 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  36. 36.12 × ? − 2 = 94
  37. 37.11 × ? + 5 = 170
  38. 38.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  39. 39.Isha has 27 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  40. 40.11 × ? − 4 = 40

Answer key

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

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