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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 544 · 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.The length of a rectangle is 8 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 10 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  3. 3.Rahul has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 7 and then take away 13. The answer is 22. What is my number?
  5. 5.A pen costs ₹9 more than a pencil. 4 pens and 8 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹10 more than a pencil. 6 pens and 5 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 5 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 4 and then take away 22. The answer is 90. What is my number?
  10. 10.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  11. 11.Solve for x: 5(x + 7) = 4x + 44. What is x?
  12. 12.Solve for x: 4(x + 6) = 2x + 28. What is x?
  13. 13.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  14. 14.8 × ? − 26 = 54
  15. 15.Priya has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹7 more than a pencil. 6 pens and 6 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
  17. 17.The length of a rectangle is 11 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  18. 18.A pen costs ₹11 more than a pencil. 6 pens and 8 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  19. 19.3 × ? − 15 = 30
  20. 20.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹8 more than a pencil. 6 pens and 6 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  22. 22.Rohan has 20 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  23. 23.Aarav has 25 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹13 more than a pencil. 3 pens and 4 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  25. 25.Vivaan has 24 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 4 and then add 5. The answer is 77. What is my number?
  27. 27.I think of a number, multiply it by 4 and then add 34. The answer is 146. What is my number?
  28. 28.Kavya has 27 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
  29. 29.Kavya has 17 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 8(x + 8) = 6x + 100. What is x?
  31. 31.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  32. 32.Solve for x: 3(x + 6) = x + 36. What is x?
  33. 33.The length of a rectangle is 13 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  34. 34.10 × ? + 12 = 122
  35. 35.The length of a rectangle is 2 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  36. 36.Meera has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  37. 37.Rahul has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  38. 38.10 × ? + 1 = 91
  39. 39.I think of a number, multiply it by 2 and then add 22. The answer is 48. What is my number?
  40. 40.A pen costs ₹13 more than a pencil. 5 pens and 6 pencils cost ₹208 in all. What does one pencil cost (in ₹)?

Answer key

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

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