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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 693 · 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.Ananya has 21 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  2. 2.6 × ? + 27 = 39
  3. 3.Rahul has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 7(x + 7) = 3x + 73. What is x?
  6. 6.Solve for x: 6(x + 8) = 2x + 120. What is x?
  7. 7.7 × ? − 9 = 131
  8. 8.Rohan has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 5(x + 5) = 4x + 31. What is x?
  10. 10.Rohan has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  11. 11.Solve for x: 9(x + 5) = 5x + 73. What is x?
  12. 12.Solve for x: 5(x + 7) = x + 103. What is x?
  13. 13.I think of a number, multiply it by 9 and then add 12. The answer is 48. What is my number?
  14. 14.Solve for x: 6(x + 5) = 5x + 32. What is x?
  15. 15.I think of a number, multiply it by 6 and then take away 3. The answer is 153. What is my number?
  16. 16.3 × ? − 13 = 8
  17. 17.Solve for x: 7(x + 5) = x + 101. What is x?
  18. 18.Aarav has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  21. 21.A pen costs ₹7 more than a pencil. 3 pens and 8 pencils cost ₹219 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 3 and then take away 39. The answer is 15. What is my number?
  23. 23.The length of a rectangle is 5 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 4 and then add 15. The answer is 119. What is my number?
  25. 25.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  26. 26.Pooja has 24 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  27. 27.Tara has 9 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  28. 28.Solve for x: 8(x + 9) = x + 93. What is x?
  29. 29.10 × ? + 18 = 268
  30. 30.The length of a rectangle is 5 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  31. 31.Diya has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 13 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 2 and then add 29. The answer is 41. What is my number?
  35. 35.A pen costs ₹6 more than a pencil. 2 pens and 6 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  36. 36.3 × ? + 3 = 72
  37. 37.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 5(x + 1) = x + 25. What is x?
  39. 39.9 × ? + 20 = 200
  40. 40.I think of a number, multiply it by 3 and then add 18. The answer is 27. What is my number?

Answer key

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

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