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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 17 · 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.Sneha has 16 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  2. 2.2 × ? − 4 = 4
  3. 3.A pen costs ₹5 more than a pencil. 6 pens and 2 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 6 and then add 4. The answer is 46. What is my number?
  5. 5.3 × ? − 4 = 8
  6. 6.Solve for x: 8(x + 9) = 6x + 78. What is x?
  7. 7.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 3 and then add 17. The answer is 101. What is my number?
  9. 9.12 × ? − 21 = 159
  10. 10.A pen costs ₹10 more than a pencil. 4 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 3(x + 5) = x + 27. What is x?
  12. 12.I think of a number, multiply it by 4 and then add 30. The answer is 46. What is my number?
  13. 13.A pen costs ₹3 more than a pencil. 5 pens and 7 pencils cost ₹231 in all. What does one pencil cost (in ₹)?
  14. 14.Karan has 28 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹14 more than a pencil. 5 pens and 5 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 3(x + 1) = 2x + 22. What is x?
  17. 17.Solve for x: 9(x + 7) = x + 167. What is x?
  18. 18.The length of a rectangle is 9 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  19. 19.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 6(x + 6) = 3x + 54. What is x?
  21. 21.Tara has 17 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  22. 22.Kavya has 29 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 3 and then add 23. The answer is 83. What is my number?
  24. 24.I think of a number, multiply it by 4 and then add 21. The answer is 65. What is my number?
  25. 25.A pen costs ₹14 more than a pencil. 2 pens and 8 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 4 and then add 8. The answer is 100. What is my number?
  27. 27.I think of a number, multiply it by 3 and then take away 29. The answer is 16. What is my number?
  28. 28.A pen costs ₹13 more than a pencil. 3 pens and 7 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  29. 29.Dev has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 9 and then add 6. The answer is 78. What is my number?
  32. 32.Solve for x: 9(x + 8) = 7x + 74. What is x?
  33. 33.2 × ? − 3 = 1
  34. 34.Solve for x: 7(x + 8) = 3x + 136. What is x?
  35. 35.3 × ? + 2 = 38
  36. 36.I think of a number, multiply it by 7 and then take away 23. The answer is 159. What is my number?
  37. 37.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  38. 38.Solve for x: 5(x + 3) = 2x + 69. What is x?
  39. 39.7 × ? + 16 = 58
  40. 40.7 × ? − 8 = 34

Answer key

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

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