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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 302 · 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. 3 pens and 5 pencils cost ₹183 in all. What does one pencil cost (in ₹)?
  2. 2.Sneha has 28 coins, all ₹5 and ₹2 coins, worth ₹125 in all. How many ₹5 coins are there?
  3. 3.Rohan has 22 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹8 more than a pencil. 2 pens and 4 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 4 and then take away 37. The answer is 35. What is my number?
  6. 6.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 13 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 3 and then take away 27. The answer is 36. What is my number?
  9. 9.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 5(x + 4) = 2x + 74. What is x?
  11. 11.Solve for x: 9(x + 4) = 5x + 72. What is x?
  12. 12.Solve for x: 7(x + 4) = 4x + 70. What is x?
  13. 13.Arjun has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 13 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  15. 15.Aditya has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  16. 16.4 × ? + 1 = 29
  17. 17.A pen costs ₹6 more than a pencil. 5 pens and 5 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  18. 18.2 × ? − 5 = 11
  19. 19.Rohan has 26 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 3 and then add 25. The answer is 76. What is my number?
  21. 21.6 × ? − 8 = 4
  22. 22.5 × ? − 3 = 37
  23. 23.4 × ? − 14 = 2
  24. 24.The length of a rectangle is 15 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  25. 25.8 × ? − 11 = 13
  26. 26.6 × ? + 14 = 98
  27. 27.Solve for x: 9(x + 6) = x + 174. What is x?
  28. 28.7 × ? + 17 = 45
  29. 29.I think of a number, multiply it by 6 and then add 9. The answer is 177. What is my number?
  30. 30.Rahul has 19 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 9 and then take away 34. The answer is 92. What is my number?
  32. 32.I think of a number, multiply it by 3 and then take away 14. The answer is 43. What is my number?
  33. 33.I think of a number, multiply it by 8 and then take away 22. The answer is 210. What is my number?
  34. 34.I think of a number, multiply it by 4 and then add 30. The answer is 146. What is my number?
  35. 35.Solve for x: 5(x + 9) = 2x + 63. What is x?
  36. 36.2 × ? + 27 = 55
  37. 37.2 × ? − 7 = 27
  38. 38.A pen costs ₹14 more than a pencil. 3 pens and 3 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  39. 39.12 × ? + 28 = 124
  40. 40.I think of a number, multiply it by 4 and then add 25. The answer is 81. What is my number?

Answer key

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

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