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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 425 · 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.Ishaan has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹13 more than a pencil. 5 pens and 4 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 7 and then add 24. The answer is 234. What is my number?
  4. 4.I think of a number, multiply it by 6 and then add 14. The answer is 176. What is my number?
  5. 5.10 × ? − 28 = 172
  6. 6.I think of a number, multiply it by 4 and then add 33. The answer is 113. What is my number?
  7. 7.Arjun has 23 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹13 more than a pencil. 3 pens and 4 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  9. 9.Ishaan has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 3(x + 2) = x + 40. What is x?
  11. 11.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 2 and then take away 4. The answer is 8. What is my number?
  13. 13.Solve for x: 5(x + 6) = x + 70. What is x?
  14. 14.A pen costs ₹5 more than a pencil. 6 pens and 6 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
  15. 15.12 × ? − 27 = 105
  16. 16.I think of a number, multiply it by 5 and then take away 31. The answer is 19. What is my number?
  17. 17.Kavya has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 3(x + 3) = x + 29. What is x?
  19. 19.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 7 and then take away 30. The answer is 103. What is my number?
  21. 21.Manav has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  22. 22.5 × ? + 30 = 85
  23. 23.I think of a number, multiply it by 4 and then add 27. The answer is 67. What is my number?
  24. 24.2 × ? + 8 = 16
  25. 25.The length of a rectangle is 7 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 7 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 6 and then add 23. The answer is 197. What is my number?
  28. 28.The length of a rectangle is 9 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 4 and then add 34. The answer is 70. What is my number?
  30. 30.Aditya has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 4 and then add 22. The answer is 142. What is my number?
  32. 32.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 6 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  34. 34.Karan has 17 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  35. 35.3 × ? + 15 = 24
  36. 36.A pen costs ₹10 more than a pencil. 3 pens and 3 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹2 more than a pencil. 2 pens and 3 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹7 more than a pencil. 6 pens and 2 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 4 and then take away 8. The answer is 48. What is my number?
  40. 40.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?

Answer key

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

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